Found 199 Documents (Results 1–100)
A Liouville theorem for superlinear parabolic equations on the Heisenberg group. (English) Zbl 1537.35116
An optimal Liouville theorem for the linear heat equation with a nonlinear boundary condition. (English) Zbl 07818485
Stable singularity formation for the Keller-Segel system in three dimensions. (English) Zbl 1532.35012
Arch. Ration. Mech. Anal. 248, No. 1, Paper No. 4, 40 p. (2024); correction ibid. 248, No. 4, Paper No. 57, 2 p. (2024).
Gradient profile for the reconnection of vortex lines with the boundary in type-II superconductors. (English) Zbl 1531.35160
Asymptotically self-similar shock formation for 1D fractal Burgers’ equation. (English) Zbl 1527.35177
Asymptotic stability of explicit infinite energy blowup solutions of the 3D incompressible Navier-Stokes equations. (English) Zbl 1527.35207
The blow-up of solutions for a class of semi-linear equations with \(p\)-Laplacian viscoelastic term under positive initial energy. (English) Zbl 1522.35084
Construction of blow-up solution for 5-dimensional critical Fujita-type equation with different blow-up speed. (English) Zbl 1520.35021
Liouville type theorems and periodic solutions for the nonhomogeneous parabolic systems. (English) Zbl 1518.35170
Universal estimates and Liouville theorems for superlinear problems without scale invariance. (English) Zbl 1518.35344
Blow-up rates for a higher-order semilinear parabolic equation with nonlinear memory term. (English) Zbl 1497.35062
Refined blow-up asymptotics for a perturbed nonlinear heat equation with a gradient and a non-local term. (English) Zbl 1494.35043
Blow-up rate of sign-changing solutions to nonlinear parabolic systems in domains. (English) Zbl 1491.35074
Liouville theorems for parabolic systems with homogeneous nonlinearities and gradient structure. (English) Zbl 1487.35142
On the dynamics of formation of generic singularities of mean curvature flow. (English) Zbl 1539.53107
Reviewer: Vincenzo Vespri (Firenze)
Single point blow-up and final profile for a perturbed nonlinear heat equation with a gradient and a non-local term. (English) Zbl 1479.35136
On the mean convexity of a space-and-time neighborhood of generic singularities formed by mean curvature flow. (English) Zbl 1475.53101
Refined construction of type II blow-up solutions for semilinear heat equations with Joseph-Lundgren supercritical nonlinearity. (English) Zbl 1469.35063
Sharp condition for the Liouville property in a class of nonlinear elliptic inequalities. (English) Zbl 1467.35151
Reviewer: Dumitru Motreanu (Perpignan)
Classification of blow-ups and monotonicity formula for half-Laplacian nonlinear heat equation. (English) Zbl 1458.35071
Construction of a blow-up solution for a perturbed nonlinear heat equation with a gradient and a non-local term. (English) Zbl 1454.35221
Geometry driven type II higher dimensional blow-up for the critical heat equation. (English) Zbl 1451.35031
Sign-changing blowing-up solutions for the critical nonlinear heat equation. (English) Zbl 1469.35054
Finite difference schemes for an axisymmetric nonlinear heat equation with blow-up. (English) Zbl 1443.65117
Liouville theorems for superlinear parabolic problems with gradient structure. (English) Zbl 1443.35056
A Liouville-type theorem in a half-space and its applications to the gradient blow-up behavior for superquadratic diffusive Hamilton-Jacobi equations. (English) Zbl 1436.35010
Finite time blow-up for the fractional critical heat equation in \(\mathbb{R}^n\). (English) Zbl 1447.35350
Reviewer: Takashi Suzuki (Osaka)
Type II finite time blow-up for the energy critical heat equation in \(\mathbb{R}^4\). (English) Zbl 1439.35284
A higher speed type II blowup for the five dimensional energy critical heat equation. (English) Zbl 1433.35007
Strongly anisotropic type II blow up at an isolated point. (English) Zbl 1436.35253
Reviewer: Joseph Shomberg (Providence)
On the multiplicity of self-similar solutions of the semilinear heat equation. (English) Zbl 1428.35170
Type II blow-up mechanisms in a semilinear heat equation with Lepin exponent. (English) Zbl 1435.35201
Reviewer: Svetlin Georgiev (Sofia)
Blow-up of radially symmetric solutions for a semilinear heat equation on hyperbolic space. (English) Zbl 1425.35072
Reviewer: Andrei Perjan (Chişinău)
Optimal condition for blow-up of the critical \(L^q\) norm for the semilinear heat equation. (English) Zbl 1420.35139
On the stability of type I blow up for the energy super critical heat equation. (English) Zbl 1430.35138
Memoirs of the American Mathematical Society 1255. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3626-1/pbk; 978-1-4704-5334-3/ebook). v, 97 p. (2019).
Reviewer: Joseph Shomberg (Providence)
Existence of a stable blow-up profile for the nonlinear heat equation with a critical power nonlinear gradient term. (English) Zbl 1423.35186
Reviewer: Johannes Lankeit (Paderborn)
A simplified approach to the refined blowup behavior for the nonlinear heat equation. (English) Zbl 1411.35176
Energy non-collapsing and refined blowup for a semilinear heat equation. (English) Zbl 1408.35077
J. Differ. Equations 266, No. 9, 5942-5970 (2019); corrigendum ibid. 267, No. 10, 6118-6123 (2019).
Reviewer: Vincenzo Vespri (Firenze)
Construction of a stable blowup solution with a prescribed behavior for a non-scaling-invariant semilinear heat equation. (English) Zbl 1407.35092
On the stability of type II blowup for the 1-corotational energy-supercritical harmonic heat flow. (English) Zbl 1397.35129
Riccati-Ermakov systems and explicit solutions for variable coefficient reaction-diffusion equations. (English) Zbl 1427.35127
Type II blow-up mechanisms in a semilinear heat equation with critical Joseph-Lundgren exponent. (English) Zbl 1401.35209
Reviewer: Dian K. Palagachev (Bari)
Excluding blowup at zero points of the potential by means of Liouville-type theorems. (English) Zbl 1394.35229
Construction and stability of blowup solutions for a non-variational semilinear parabolic system. (Construction et stabilité de solutions explosives pour un système parabolique sémilinéaire non-variationel.) (English. French summary) Zbl 1394.35222
Blow-up profiles and refined extensibility criteria in quasilinear Keller-Segel systems. (English) Zbl 1516.35115
Global, decaying solutions of a focusing energy-critical heat equation in \(\mathbb{R}^4\). (English) Zbl 1391.35173
Reviewer: Dian K. Palagachev (Bari)
Quenching rate for a nonlocal problem arising in the micro-electro mechanical system. (English) Zbl 1470.35216
Finite degrees of freedom for the refined blow-up profile of the semilinear heat equation. (English. French summary) Zbl 1395.35125
Reviewer: Joseph Shomberg (Providence)
Numerical analysis of the rescaling method for parabolic problems with blow-up in finite time. (English) Zbl 1376.35088
Blow-up rate estimates and Liouville type theorems for a semilinear heat equation with weighted source. (English) Zbl 1516.35145
Blow-up set of type I blowing up solutions for nonlinear parabolic systems. (English) Zbl 1377.35035
A numerical algorithm for blow-up problems revisited. (English) Zbl 1376.65113
Reviewer: T. C. Mohan (Chennai)
Dynamics near the ground state for the energy critical nonlinear heat equation in large dimensions. (English) Zbl 1401.35178
Reviewer: Sergey G. Pyatkov (Khanty-Mansiysk)
Morrey spaces and classification of global solutions for a supercritical semilinear heat equation in \(\mathbb{R}^n\). (English) Zbl 1372.35157
Stability of ODE blow-up for the energy critical semilinear heat equation. (Stabilité de l’explosion type EDO pour l’équation de la chaleur énergie critique.) (English. French summary) Zbl 1364.35156
Reviewer: Lubomira Softova (Aversa)
Liouville theorems for scaling invariant superlinear parabolic problems with gradient structure. (English) Zbl 1336.35193
Reviewer: Mohammed El Aïdi (Bogotá)
Construction of a stable periodic solution to a semilinear heat equation with a prescribed profile. (English) Zbl 1334.35145
Reviewer: Hussein Fakih (Poitiers)
The blow-up rate for strongly perturbed semilinear wave equations in the conformal case. (English) Zbl 1343.35166
Reviewer: Chengbo Wang (Hangzhou)
On the quenching behavior of the MEMS with fringing field. (English) Zbl 1336.35192
Reviewer: Alain Brillard (Riedisheim)
Profile for a simultaneously blowing up solution to a complex valued semilinear heat equation. (English) Zbl 1335.35126
Reviewer: Christian Stinner (Kaiserslautern)
Blow-up of solutions to a semilinear heat equation with a viscoelastic term and a nonlinear boundary flux. (Explosion de solutions de l’équation de la chaleur semi-linéaire avec un terme viscoélastique et un flux de limite non linéaire.) (English. French summary) Zbl 1322.35073
Remarks on the asymptotically discretely self-similar solutions of the Navier-Stokes and the Euler equations. (English) Zbl 1327.76022
A stable self-similar singularity of evaporating drops: ellipsoidal collapse to a point. (English) Zbl 1317.35194
On the blow-up results for a class of strongly perturbed semilinear heat equations. (English) Zbl 1327.35195
Reviewer: Christian Stinner (München)
Cauchy problem for the non-Newtonian polytropic filtration equation with a localized reaction. (English) Zbl 1327.35172
Blow-up set for type I blowing up solutions for a semilinear heat equation. (English) Zbl 1297.35052
Non self-similar blow-up solutions to the heat equation with nonlinear boundary conditions. (English) Zbl 1288.35115
Blowup behaviour for the nonlinear Klein-Gordon equation. (English) Zbl 1290.35227
Reviewer: Ahmed Lesfari (El Jadida)
Strong traces for averaged solutions of heterogeneous ultra-parabolic transport equations. (English) Zbl 1288.35320
Analyticity of the Stokes semigroup in spaces of bounded functions. (English) Zbl 1288.35383
MSC:
35Q35
Convergence and blow-up of solutions for a complex-valued heat equation with a quadratic nonlinearity. (English) Zbl 1277.35070
Reviewer: Marek Fila (Bratislava)
Blow-up time for nonlinear heat equations with transcendental nonlinearity. (English) Zbl 1257.35054
Blow-up rate for radially symmetric solutions of some parabolic equations with nonlinear boundary conditions. (English) Zbl 1252.35090
Blow-up profiles of solutions for the exponential reaction-diffusion equation. (English) Zbl 1233.35051
Reviewer: Marek Fila (Bratislava)
Multiple blow-up for a porous medium equation with reaction. (English) Zbl 1233.35049
Reviewer: Marek Fila (Bratislava)
Transient behavior of solutions to a class of nonlinear boundary value problems. (English) Zbl 1221.35062
Liouville theorems, a priori estimates, and blow-up rates for solutions of indefinite superlinear parabolic problems. (English) Zbl 1224.35013
Filter Results by …
Document Type
- Journal Articles (198)
- Books (1)
all
top 5
Author
- Zaag, Hatem (17)
- Souplet, Philippe (11)
- Wei, Juncheng (10)
- Mizoguchi, Noriko (9)
- Quittner, Pavol (9)
- Del Pino, Manuel A. (6)
- Guo, Jong-Shenq (6)
- Merle, Frank (6)
- Rossi, Julio Daniel (6)
- Harada, Junichi (5)
- Nguyen, Van Tien (5)
- Zheng, Gaofeng (5)
- Chae, Dongho (4)
- Collot, Charles (4)
- Giga, Yoshikazu (4)
- Hu, Bei (4)
- Musso, Monica (4)
- Raphael, Pierre (4)
- Seki, Yukihiro (4)
- Velázquez, Juan J. L. (4)
- Zheng, Sining (4)
- Abdelhedi, Bouthaina (3)
- Budd, Christopher John (3)
- Cortázar, Carmen (3)
- de Pablo, Arturo (3)
- Elgueta, Manuel (3)
- Ferreira, Raúl (3)
- Fujishima, Yohei (3)
- Gang, Zhou (3)
- Ghoul, Tej-Eddine (3)
- Ishige, Kazuhiro (3)
- Liu, Bingchen (3)
- Liu, Wenxiong (3)
- Nouaili, Nejla (3)
- Quirós Gracián, Fernando (3)
- Vazquez, Juan Luis (3)
- Wang, Mingxin (3)
- Wang, Shu (3)
- Xie, Chunhong (3)
- Yanagida, Eiji (3)
- Zhou, Yifu (3)
- Abe, Ken (2)
- An, Xiaowei (2)
- Bernoff, Andrew J. (2)
- Cheng, Ting (2)
- Du, Shi-Zhong (2)
- Escobedo Martínez, Miguel (2)
- Filippas, Stathis (2)
- Galaktionov, Victor Aleksandrovich (2)
- Groisman, Pablo (2)
- Guedda, Mohammed (2)
- Hamza, Mohamed Ali (2)
- Herrero, Miguel Ángel (2)
- Ibrahim, Slim (2)
- Kavian, Otared (2)
- LeMesurier, Brenton J. (2)
- Li, Fengjie (2)
- Lin, Ping (2)
- Lin, Zhigui (2)
- Matano, Hiroshi (2)
- Mu, Chunlai (2)
- Poláčik, Peter (2)
- Shimojō, Masahiko (2)
- Song, Xianfa (2)
- Taliaferro, Steven D. (2)
- Weissler, Fred B. (2)
- Witelski, Thomas P. (2)
- Wu, Ke (2)
- Xing, Ruixiang (2)
- Zhanpeisov, Erbol (2)
- Aguirre Estibalez, Julián (1)
- Ahmed, Iftikhar (1)
- Aleksic, Jelena (1)
- Alikakos, Nicholas D. (1)
- Andreucci, Daniele (1)
- Barenblatt, Grigory Isaakovich (1)
- Bates, Peter W. (1)
- Bebernes, Jerrold W. (1)
- Bertozzi, Andrea Louise (1)
- Bluman, George Wallace (1)
- Bressan, Alberto (1)
- Broadbridge, Philip (1)
- Bryan, Kurt M. (1)
- Cazenave, Thierry (1)
- Chen, Guoyuan (1)
- Chen, Jianping (1)
- Chickering, Kyle R. (1)
- Cho, Chien-Hong (1)
- Chou, Kai-Seng (1)
- Collins, G. J. (1)
- Dávila, Juan (1)
- Dejak, Steven I. (1)
- Deng, Bin (1)
- Deng, Zhiwen Duanweibing (1)
- DiBenedetto, Emmanuele (1)
- Dickstein, Flávio (1)
- Duong, Giao Ky (1)
- Eberly, David H. (1)
- El Soufi, Ahmad (1)
- Esteban, Maria J. (1)
- and 109 more Authors
all
top 5
Serial
- J. Differ. Equations (29)
- J. Math. Anal. Appl. (14)
- Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods (13)
- Ann. Inst. Henri Poincaré, Anal. Non Linéaire (11)
- Commun. Partial Differ. Equations (8)
- J. Funct. Anal. (7)
- Math. Ann. (7)
- Trans. Am. Math. Soc. (6)
- Discrete Contin. Dyn. Syst. (5)
- Arch. Ration. Mech. Anal. (4)
- Duke Math. J. (4)
- Proc. R. Soc. Edinb., Sect. A, Math. (4)
- Calc. Var. Partial Differ. Equ. (4)
- Appl. Anal. (3)
- Comput. Math. Appl. (3)
- Rocky Mt. J. Math. (3)
- Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. (3)
- Physica D (3)
- J. Dyn. Differ. Equations (3)
- Commun. Math. Phys. (2)
- J. Eng. Math. (2)
- Math. Methods Appl. Sci. (2)
- Acta Math. (2)
- Adv. Math. (2)
- Appl. Math. Comput. (2)
- Q. Appl. Math. (2)
- SIAM J. Math. Anal. (2)
- Acta Math. Sin., Engl. Ser. (2)
- J. Evol. Equ. (2)
- C. R., Math., Acad. Sci. Paris (2)
- Nonlinear Anal., Theory Methods Appl. (2)
- Commun. Pure Appl. Math. (1)
- Z. Angew. Math. Phys. (1)
- Ann. Sci. Éc. Norm. Supér. (4) (1)
- Colloq. Math. (1)
- Computing (1)
- Czech. Math. J. (1)
- J. Comput. Appl. Math. (1)
- J. Reine Angew. Math. (1)
- Mem. Am. Math. Soc. (1)
- Monatsh. Math. (1)
- Proc. Am. Math. Soc. (1)
- Proc. Edinb. Math. Soc., II. Ser. (1)
- Publ. Res. Inst. Math. Sci. (1)
- Adv. Appl. Math. (1)
- J. Am. Math. Soc. (1)
- Eur. J. Appl. Math. (1)
- J. Geom. Anal. (1)
- Numer. Algorithms (1)
- J. Math. Pures Appl. (9) (1)
- ETNA, Electron. Trans. Numer. Anal. (1)
- Adv. Differ. Equ. (1)
- Abstr. Appl. Anal. (1)
- Math. Phys. Anal. Geom. (1)
- Rev. Mat. Complut. (1)
- Commun. Contemp. Math. (1)
- Nonlinear Anal., Real World Appl. (1)
- Discrete Contin. Dyn. Syst., Ser. B (1)
- J. Appl. Math. (1)
- Adv. Nonlinear Stud. (1)
- Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) (1)
- J. Hyperbolic Differ. Equ. (1)
- Mediterr. J. Math. (1)
- J. Fixed Point Theory Appl. (1)
- Discrete Contin. Dyn. Syst., Ser. S (1)
- Anal. PDE (1)
- Sci. China, Math. (1)
- Adv. Nonlinear Anal. (1)
- Ann. PDE (1)
- J. Elliptic Parabol. Equ. (1)
- Tunis. J. Math. (1)
- SN Partial Differ. Equ. Appl. (1)
all
top 5
Year of Publication
- 2024 (5)
- 2023 (6)
- 2022 (7)
- 2021 (12)
- 2020 (12)
- 2019 (9)
- 2018 (8)
- 2017 (12)
- 2016 (3)
- 2015 (10)
- 2014 (5)
- 2013 (3)
- 2012 (2)
- 2011 (11)
- 2010 (9)
- 2009 (7)
- 2008 (5)
- 2007 (7)
- 2006 (5)
- 2005 (5)
- 2004 (7)
- 2003 (3)
- 2002 (3)
- 2001 (4)
- 2000 (1)
- 1999 (5)
- 1998 (6)
- 1997 (3)
- 1996 (1)
- 1995 (3)
- 1994 (2)
- 1993 (4)
- 1992 (3)
- 1991 (3)
- 1990 (3)
- 1989 (3)
- 1988 (2)
