Regularity and Liouville theorem on an integral equation of Allen-Cahn type. (English) Zbl 07906822
Reviewer: Narahari Parhi (Bhubaneswar)
Found 878 Documents (Results 1–100)
Movable singularity of some Hamiltonian systems associated with blowup phenomena. (English) Zbl 07926541
Nonlocal Green theorems and Helmholtz decompositions for truncated fractional gradients. (English) Zbl 07898805
Discrete group method for a mathematical model of the diffusion in swelling gelatin. (English) Zbl 1542.35022
On the summability and convergence of formal solutions of linear \(q\)-difference-differential equations with constant coefficients. (English) Zbl 1541.35128
Reviewer: Pascal Remy (Carrières-sur-Seine)
Regularization of the volume integral operator of electromagnetic scattering. (English) Zbl 1540.35388
On rigorous computational and numerical solutions for the voltages of the electrified transmission range with the day yet distance. (English) Zbl 1531.65284
A fast, rapidly convergent Nyström solver for electromagnetic scattering from orthotropic media. (English) Zbl 1538.65626
Second-order asymptotics of fractional Gagliardo seminorms as \(s\to1^-\) and convergence of the associated gradient flows. arXiv:2410.17829
Preprint, arXiv:2410.17829 [math.AP] (2024).
Homogenization of non-autonomous operators of convolution type in periodic media. (English) Zbl 1540.45006
Group analysis explicit power series solutions and conservation laws of the time-fractional generalized foam drainage equation. (English) Zbl 1536.35266
Investigation of an approximate solution of the integral equation of the exterior Dirichlet boundary value problem for the Helmholtz equation in the two-dimensional space. (Russian. English summary) Zbl 1532.65116
Stability analysis of a simple discretization method for a class of strongly singular integral equations. (English) Zbl 1534.45006
Reviewer: Olaf Hansen (San Marcos)
Method of volume singular equations for solving a nonlinear problem of diffraction in a semi-infinite rectangular waveguide. (English) Zbl 1531.65220
The equations of the Darcy-Brinkman flow: the Lie symmetry classification, conservation laws, and traveling wave solutions. (English) Zbl 1531.35028
A nonlinear fractional partial integro-differential equation with nonlocal initial value conditions. (English) Zbl 1531.35358
Properties of the Abel-Poisson transformation of formal Hermite series. (Ukrainian. English summary) Zbl 07779267
Reversed Hardy-Littlewood-Sobolev inequalities with weights on the Heisenberg group. (English) Zbl 1542.35017
A new exponential type kernel integral transform: Khalouta transform and its applications. (English) Zbl 07774147
Asymptotic properties of the solutions of higher-order differential equations on generalized Hölder classes. (English. Ukrainian original) Zbl 1528.35042
Cybern. Syst. Anal. 59, No. 4, 633-639 (2023); translation from Kibern. Sist. Anal. 59, No. 4, 139-146 (2023).
On operator estimates in homogenization of nonlocal operators of convolution type. (English) Zbl 1509.35030
Study of the backward difference and local discontinuous Galerkin (LDG) methods for solving fourth-order partial integro-differential equations (PIDEs) with memory terms: stability analysis. (English) Zbl 1505.65266
A wavelet collocation method based on Gegenbauer scaling function for solving fourth-order time-fractional integro-differential equations with a weakly singular kernel. (English) Zbl 1508.65140
Reviewer: Dana Černá (Liberec)
On concentration of real solutions for fractional Helmholtz equation. arXiv:2312.15009
Preprint, arXiv:2312.15009 [math.AP] (2023).
Homogenization of nonlocal convolution type operators: Approximation for the resolvent with corrector. arXiv:2311.16574
Preprint, arXiv:2311.16574 [math.AP] (2023).
Reversed Hardy-Littlewood-Sobolev inequalities with vertical weights on the upper half space. arXiv:2311.03933
Preprint, arXiv:2311.03933 [math.AP] (2023).
To the theory of one class of three-dimensional integral equation with super-singular kernels by tube domain. (English) Zbl 07819098
Cerejeiras, Paula (ed.) et al., Current trends in analysis, its applications and computation. Proceedings of the 12th ISAAC congress, Aveiro, Portugal, July 29 – August 3, 2019. Cham: Birkhäuser. Trends Math., 75-86 (2022).
Three pieces Riemann problem for 2-D full Euler system in the Noble-Abel gas. (English) Zbl 1530.35201
Direct methods for singular integral equations and non-homogeneous parabolic PDEs. (English) Zbl 1538.35010
Exact and approximate solutions to the Stefan problem in ellipsoidal coordinates. (English) Zbl 1513.80006
Björk-Sjölin condition for strongly singular convolution operators on graded Lie groups. (English) Zbl 1510.35411
Reviewer: P. K. Ratnakumar (Allahabad)
Orthogonal spline collocation method for the two-dimensional time fractional mobile-immobile equation. (English) Zbl 07597396
Wave diffraction from the truncated hollow wedge: analytical regularization and Wiener-Hopf analysis. (English) Zbl 1498.78020
High-order orthogonal spline collocation method with graded meshes for two-dimensional fractional evolution integro-differential equation. (English) Zbl 1513.65416
Photoacoustic inversion formulas using mixed data on finite time intervals. (English) Zbl 1494.35183
Homogenization of quadratic convolution energies in periodically perforated domains. (English) Zbl 1500.35020
Reviewer: Juan Casado-Díaz (Sevilla)
Sticky Bessel diffusions. (English) Zbl 1491.60143
An integration by parts formula for the bilinear form of the hypersingular boundary integral operator for the transient heat equation in three spatial dimensions. (English) Zbl 1491.35263
New theories and applications of tempered fractional differential equations. (English) Zbl 1537.34017
On the discrete group analysis for the exact solutions of some classes of the nonlinear Abel and Burgers equations. (English) Zbl 1513.34002
Semi-analytic treatment of mixed hyperbolic-elliptic Cauchy problem modeling three-phase flow in porous media. (English) Zbl 1492.76130
A Liouville theorem of an integral equation of the Chern-Simons-Higgs type. (English) Zbl 1486.35374
Reviewer: Ayman Kachmar (Nabaṭiyya)
Algebro-geometric solutions of the coupled Chaffee-Infante reaction diffusion hierarchy. (English) Zbl 1483.37087
Reviewer: Ahmed Lesfari (El Jadida)
Uniqueness and existence theorems for solving problems of scattering electromagnetic waves by anisotropic bodies. (English. Russian original) Zbl 1493.35115
Dokl. Math. 103, No. 1, 50-53 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 496, 59-63 (2021).
Summable solutions of the Goursat problem for some partial differential equations with constant coefficients. (English) Zbl 1476.35086
Reviewer: Pascal Remy (Carrières-sur-Seine)
A problem of normal oscillations of a system of bodies partially filled with ideal fluids under the action of an elastic damping device. (English) Zbl 1471.35244
Integrable Abel equation and asymptotics of symmetry solutions of Korteweg-de Vries equation. (Russian. English translation) Zbl 1499.35543
Ufim. Mat. Zh. 13, No. 2, 104-111 (2021); translation in Ufa Math. J. 13, No. 2, 99-106 (2021).
MSC:
35Q53
A fast ADI orthogonal spline collocation method with graded meshes for the two-dimensional fractional integro-differential equation. (English) Zbl 1496.65184
An integral equation formulation of the \(N\)-body dielectric spheres problem. I: Numerical analysis. (English) Zbl 1491.65170
Fractional weighted problems with a general nonlinearity or with concave-convex nonlinearities. (English) Zbl 1473.35620
Asymptotic estimates for an integral equation in theory of phase transition. (English) Zbl 1467.45007
Inhomogeneous vector Riemann boundary value problem and convolutions equation on a finite interval. (English. Russian original) Zbl 1468.45003
Russ. Math. 65, No. 3, 12-24 (2021); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2021, No. 3, 15-28 (2021).
Reviewer: Alexander N. Tynda (Penza)
Mixed type boundary value problems for Laplace-Beltrami equation on a surface with the Lipschitz boundary. (English) Zbl 1466.35145
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
Smoothness of solutions of a convolution equation of restricted type on the sphere. (English) Zbl 1467.45006
Reviewer: Mohammed El Aïdi (Bogotá)
The Crank-Nicolson-type sinc-Galerkin method for the fourth-order partial integro-differential equation with a weakly singular kernel. (English) Zbl 1459.65189
Transport phenomena in biological field effect transistors. (English) Zbl 1464.35359
Reviewer: Yaroslav Baranetskij (Lviv)
Mixed impedance boundary value problems for the Laplace-Beltrami equation. (English) Zbl 1454.35128
Reviewer: Vicenţiu D. Rădulescu (Craiova)
Gevrey problem for a loaded mixed parabolic equation with a fractional derivative. (English. Russian original) Zbl 1450.35266
J. Math. Sci., New York 250, No. 5, 746-752 (2020); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 149, 31-37 (2018).
High-order ADI orthogonal spline collocation method for a new 2D fractional integro-differential problem. (English) Zbl 1446.65131
The Stokes phenomenon of the Cauchy problem for certain partial differential equations with variable coefficients depending on the time variable. (English) Zbl 1443.35021
Filipuk, Galina (ed.) et al., Complex differential and difference equations. Proceedings of the school and conference held at Będlewo, Poland, September 2–15, 2018. Berlin: De Gruyter. De Gruyter Proc. Math., 419-433 (2020).
A heat conduction problem with sources depending on the average of the heat flux on the boundary. (English) Zbl 1439.35203
Mixed boundary value problems for the Helmholtz equation in a model 2D angular domain. (English) Zbl 1444.35054
Reviewer: David Kapanadze (Tbilisi)
The saturation assumption yields optimal convergence of two-level adaptive BEM. (English) Zbl 1440.65263
Stochastic homogenization of convolution type operators. (English. French summary) Zbl 1433.35006
Reviewer: Aleksandr D. Borisenko (Kyïv)
Analysis of ring sourced diffraction with rigid and impedance boundary condition. (English) Zbl 1524.35480
Solvability of some classes of singular integral equations of convolution type via Riemann-Hilbert problem. (English) Zbl 1499.45010
On the behaviour at infinity of solutions to nonlocal parabolic type problems. (English) Zbl 1439.35192
Generalized transmission problem for two-dimensional filtration flows in an anisotropic inhomogeneous layer. (English. Russian original) Zbl 1433.35294
Differ. Equ. 55, No. 9, 1174-1181 (2019); translation from Differ. Uravn. 55, No. 9, 1218-1225 (2019).
Explicit unconditionally stable methods for the heat equation via potential theory. (English) Zbl 1427.65416
A numerical scheme for solving a class of logarithmic integral equations arisen from two-dimensional Helmholtz equations using local thin plate splines. (English) Zbl 1428.74224
Surjectivity of Euler type differential operators on spaces of smooth functions. (English) Zbl 1478.46019
Reviewer: José Bonet (Valencia)
Quasi-Lie schemes for PDEs. (English) Zbl 1423.35012
Homogenization of Lévy-type operators with oscillating coefficients. (English) Zbl 1434.45001
Reviewer: Luigi Rodino (Torino)
Surjectivity of Hadamard type operators on spaces of smooth functions. (English) Zbl 1437.46030
Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 2, 1625-1676 (2019); correction ibid. 113, No. 2, 1677 (2019).
Reviewer: Rüdiger W. Braun (Düsseldorf)
Exact solutions of the nonlinear diffusion equation. (English. Russian original) Zbl 1416.35063
Sib. Math. J. 60, No. 1, 93-107 (2019); translation from Sib. Mat. Zh. 60, No. 1, 123-140 (2019).
Movable singularity of semi linear Heun equation and application to blowup phenomenon. (English) Zbl 1409.35011
A potential space estimate for solutions of systems of nonlocal equations in peridynamics. (English) Zbl 1451.35215
On the solutions of Cauchy problem for two classes of semi-linear pseudo-differential equations over \(p\)-adic field. (English) Zbl 07090162
Continuity of solutions of a class of fractional equations. (English) Zbl 1407.35205
Reviewer: Ahmed M. A. El-Sayed (Alexandria)
Integral equation of Toeplitz plus Hankel’s type and parabolic equation related to the Kontorovich-Lebedev-Fourier generalized convolutions. (English) Zbl 1405.42010
Viscoelastic behavior of periodontal ligament: stresses relaxation at translational displacement of a tooth root. (English) Zbl 1405.74026
Drygaś, Piotr (ed.) et al., Modern problems in applied analysis. Lecture notes of the 3rd international workshop “Boundary value problems, functional equations and applications”, BAF-3, Rzeszów, Poland, April 20–23, 2016. Cham: Birkhäuser (ISBN 978-3-319-72639-7/hbk; 978-3-319-72640-3/ebook). Trends in Mathematics, 51-64 (2018).
Quasi-invariance for the Navier-Stokes equations. (English) Zbl 1408.35125
Fefferman, Charles L. (ed.) et al., Partial differential equations in fluid mechanics. Based on the workshop “PDEs in Fluid Mechanics”, Warwick, UK, September 26–30, 2016. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 452, 97-112 (2018).
The Stokes phenomenon for certain PDEs in a case when initial data have a finite set of singular points. (English) Zbl 1402.35073
Filipuk, Galina (ed.) et al., Formal and analytic solutions of diff. equations, FASdiff, Alcalá de Henares, Spain, September 4–8, 2017. Selected, revised contributions. Cham: Springer (ISBN 978-3-319-99147-4/hbk; 978-3-319-99148-1/ebook). Springer Proceedings in Mathematics & Statistics 256, 79-93 (2018).
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