Found 146 Documents (Results 1–100)
Invariant measures and statistical solutions of the globally modified magnetohydrodynamics equations. (English) Zbl 07922052
Nonlinear two-component system of time-fractional PDEs in \((2+1)\)-dimensions: invariant subspace method combined with variable transformation. (English) Zbl 07900547
Local integrability of \(G(\cdot)\)-superharmonic functions in Lebesgue and Musielak-Orlicz spaces. (English) Zbl 07848749
Unraveling the highly nonlinear dynamics of KCN molecular system using Lagrangian descriptors. (English) Zbl 1523.81214
Existence and multiplicity of solutions to magnetic Kirchhoff equations in Orlicz-Sobolev spaces. (English) Zbl 1511.35372
Nonstandard growth optimization problems with volume constraint. (English) Zbl 07675610
Reviewer: Petr Tomiczek (Plzeň)
Ergodic results for the stochastic nonlinear Schrödinger equation with large damping. (English) Zbl 1511.35320
Reviewer: Jiqiang Zheng (Beijing)
Closed-form solutions via the invariant approach for one-factor commodity models. (English) Zbl 1503.35013
Weak and viscosity solutions for non-homogeneous fractional equations in Orlicz spaces. (English) Zbl 1496.35160
Global existence and blow-up phenomenon for a quasilinear viscoelastic equation with strong damping and source terms. (English) Zbl 1484.35080
High frequency limits for invariant Ruelle densities. (Limites hautes fréquences pour les densités invariantes de Ruelle.) (English. French summary) Zbl 1498.37035
Lie symmetry analysis for the general classes of generalized modified Kuramoto-Sivashinsky equation. (English) Zbl 1479.35040
Residual symmetry, Bäcklund transformation, and soliton solutions of the higher-order Broer-Kaup system. (English) Zbl 1477.35063
Lie symmetry analysis, invariant subspace method and q-homotopy analysis method for solving fractional system of single-walled carbon nanotube. (English) Zbl 1477.35009
A study of a generalized first extended (3+1)-dimensional Jimbo-Miwa equation. (English) Zbl 1456.35087
Sobolev spaces of functions on a Hilbert space endowed with a translation-invariant measure and approximations of semigroups. (English. Russian original) Zbl 1461.46045
Izv. Math. 84, No. 4, 694-721 (2020); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 84, No. 4, 79-109 (2020).
On limiting behavior of stationary measures for stochastic evolution systems with small noise intensity. (English) Zbl 1467.60026
Reviewer: Ilie Valuşescu (Bucureşti)
Two algebraic byways from differential equations: Gröbner bases and quivers. (English) Zbl 1444.14002
Algorithms and Computation in Mathematics 28. Cham: Springer (ISBN 978-3-030-26453-6/hbk; 978-3-030-26454-3/ebook). xi, 371 p. (2020).
MSC:
14-06
16-06
62-06
00B15
13P10
14F10
14H60
14L24
14L30
16D40
16G20
16S37
18C10
18N10
18G10
34M35
34M40
35A25
53D20
58A15
68Q42
Applications of stochastic semigroups to queueing models. (English) Zbl 1454.47051
Reviewer: Feng-Yu Wang (Swansea)
Invariant subspaces and exact solutions for a system of fractional PDEs in higher dimensions. (English) Zbl 1449.35435
On \(G\)-invariant solutions of a singular biharmonic elliptic system involving multiple critical exponents in \(R^N\). (English) Zbl 1499.35061
Malliavin calculus for non-Gaussian differentiable measures and surface measures in Hilbert spaces. (English) Zbl 1392.28012
Reviewer: Byoung Soo Kim (Seoul)
\(k\)-Dirac complexes. (English) Zbl 1387.58027
Slowly varying, macroscale models emerge from microscale dynamics over multiscale domains. (English) Zbl 1486.82036
Geometric properties of homogeneous parabolic geometries with generalized symmetries. (English) Zbl 1352.53020
Estimate for \(P_{t}D\) for the stochastic Burgers equation. (English. French summary) Zbl 1350.60057
Infinitely many sign-changing solutions to some quasilinear equation involving exponential term. (English) Zbl 1359.35073
Reviewer: Junichi Aramaki (Saitama)
Weak solutions for the Hamiltonian bifurcation problem. (English) Zbl 1343.35224
Reviewer: Rodica Luca (Iaşi)
Global symmetry-breaking bifurcation for the van der Waals-Cahn-Hilliard model on the sphere \(S^2\). (English) Zbl 1339.35030
Reviewer: Vicenţiu D. Rădulescu (Craiova)
Equivalent transformations and higher-dimensional invariant subspaces of generalized inhomogeneous nonlinear diffusion equations. (Chinese. English summary) Zbl 1340.35161
Equivalent transformations and higher-dimensional invariant subspaces to the inhomogeneous nonlinear diffusion equations. (Chinese. English summary) Zbl 1340.35119
Invariant and ergodic nonlinear expectations for \(G\)-diffusion processes. (English) Zbl 1321.60153
Existence and multiplicity of solutions to operator equations involving duality mappings on Sobolev spaces with variable exponents. (English) Zbl 1315.35097
Multiple existence results of solutions for quasilinear elliptic equations with a nonlinearity depending on a parameter. (English) Zbl 1305.35070
Reviewer: Junichi Aramaki (Saitama)
Sobolev regularity for a class of second order elliptic PDE’s in infinite dimension. (English) Zbl 1328.35291
Reviewer: Rodica Luca (Iaşi)
Gaussians rarely extremize adjoint Fourier restriction inequalities for paraboloids. (English) Zbl 1285.26035
Reviewer: Cristinel Mortici (Târgovişte)
Space-time stationary solutions for the Burgers equation. (English) Zbl 1296.37051
Reviewer: Matheus Cheque Bortolan (Lima)
A package to work with linear partial differential operators. (English. Russian original) Zbl 1311.65180
Program. Comput. Softw. 39, No. 4, 212-219 (2013); translation from Programmirovanie 39, No. 4 (2013).
Optimal Sobolev type inequalities in Lorentz spaces. (English) Zbl 1288.46025
Reviewer: Denise Huet (Nancy)
Large data low regularity scattering results for the wave equation on the Euclidean space. (English) Zbl 1267.35130
Lie symmetry classification and equivalence transformation of variable coefficient nonlinear wave equations with power nonlinearities. (Chinese. English summary) Zbl 1274.35215
Uniformly \(\gamma \)-radonifying families of operators and the stochastic Weiss conjecture. (English) Zbl 1275.47045
Reviewer: Wilfried Hazod (Dortmund)
Conditional Lie-Bäcklund symmetries and functionally generalized separable solutions to the generalized porous medium equations with source. (English) Zbl 1236.35089
Stochastic partial differential equations: Kolmogorov operators and invariant measures. (English) Zbl 1221.60093
Invariant measures for stochastic evolution equations in M-type 2 Banach spaces. (English) Zbl 1239.60053
Equivariant Lefschetz number of differential operators. (English) Zbl 1205.32020
Reviewer: Witold Mozgawa (Lublin)
Fourier transform and invariant differential operators on the group \(G_4\). (English) Zbl 1197.43003
Reviewer: Koichi Saka (Akita)
Infinitely many solutions for operator equations involving duality mappings on Orlicz-Sobolev spaces. (English) Zbl 1228.35050
On the zero set of \(G\)-equivariant maps. (English) Zbl 1181.37078
Reviewer: Mircea Crâşmăreanu (Iaşi)
Existence of solutions for some fourth-order nonlinear elliptic problems. (English) Zbl 1179.35140
Reviewer: Vesa Mustonen (Oulu)
Approximate transformation groups: lecture notes. (English) Zbl 1307.35001
ALGA Publications. Karlskrona: ALGA, Blekinge Institute of Technology (ISBN 978-91-7295-977-4/pbk). iv, 50 p. (2008).
On the domain of nonsymmetric Ornstein-Uhlenbeck operators in Banach spaces. (English) Zbl 1169.47032
Reviewer: Michael Perelmuter (Kyïv)
Dressing method in matter+radiation quantum models. (English. Russian original) Zbl 1134.81438
Theor. Math. Phys. 152, No. 1, 977-990 (2007); translation from Teor. Mat. Fiz. 152, No. 1, 118-132 (2007).
Invariant measures for the linear stochastic Cauchy problem and \(R\)-boundedness of the resolvent. (English) Zbl 1117.47033
Reviewer: Vassilis G. Papanicolaou (Athena)
Fundamental solutions to the Cauchy problem for invariant \(\Lambda_{(\mu)}\)-hyperbolic operators on Riemann manifolds. (Ukrainian) Zbl 1109.35304
Reviewer: V. M. Musaev (Baku)
Norm discontinuity and spectral properties of Ornstein–Uhlenbeck semigroups. (English) Zbl 1117.47035
Reviewer: Mohamed Hmissi (Tunis)
Schrödinger equations with concave and convex nonlinearities. (English) Zbl 1113.35071
Reviewer: Messoud A. Efendiev (Berlin)
Conditions ensuring \(T^{-1}(Y)\subset Y\). (English) Zbl 1089.47007
Reviewer: Rudolf Kodnár (Bratislava)
Central manifold theory for the generalized equation of Kirchhoff strings on \(\mathbb R^N\). (English) Zbl 1073.35179
Reviewer: Christian Pötzsche (Minneapolis)
Existence theorems of multiple critical points and applications. (English) Zbl 1125.35029
Reviewer: Shihuang Hong (Hangzhou)
Conditional symmetry approach to Bäcklund transformation of Tzitzeica equation. (English) Zbl 1049.35011
Asymptotic properties of functional differential equations in Banach spaces. (English) Zbl 1057.35086
Reviewer: Emil Minchev (Tokyo)
On the solution of the nonlinear Schrödinger equation. (English) Zbl 1055.35122
Reviewer: Messoud A. Efendiev (Berlin)
Differential invariants and construction of conditionally invariant equations. (English) Zbl 1038.58049
Nikitin, A. G. (ed.) et al., Proceedings of the fourth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, July 9–15, 2001. Part 1. Dedicated to the 200th anniversary of M. Ostrohrads’kyi. Kyïv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-2486-9). Proc. Inst. Math. Natl. Acad. Sci. Ukr., Math. Appl. 43(1), 256-262 (2002).
Reviewer: V. M. Boyko (Kyïv)
Spectral methods of automorphic forms. 2nd ed. (English) Zbl 1006.11024
Graduate Studies in Mathematics. 53. Providence, RI: American Mathematical Society (AMS). Madrid: Revista Matemática Iberoamericana, xi, 220 p. (2002).
Reviewer: Jürgen Elstrodt (Münster)
Connections between the convective diffusion equation and the forced Burgers equation. (English) Zbl 1043.35008
Algorithms for symmetric differential systems. (English) Zbl 0986.35080
Reviewer: Werner M.Seiler (Mannheim)
Existence of pseudo-conformally invariant solutions to the Davey-Stewartson system. (English) Zbl 0989.35121
On quantum unique ergodicity for \(\Gamma\backslash\mathbb H\times \mathbb H\). (English) Zbl 1093.11034
Uniqueness of invariant measures for the stochastic Cauchy problem in Banach spaces. (English) Zbl 0986.60055
Kérchy, László (ed.) et al., Recent advances in operator theory and related topics. The Béla Szőkefalvi-Nagy memorial volume. Proceedings of the memorial conference, Szeged, Hungary, August 2-6, 1999. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 127, 491-517 (2001).
Reviewer: Jan Seidler (Praha)
Lie symmetry group reduction of the systems preserving \(n\)-form and its applications. (Chinese. English summary) Zbl 1041.37028
MSC:
37J15
58J72
On the Lie and Cartan theory of invariant differential systems. (English) Zbl 0939.35043
Reviewer: V.A.Yumaguzhin (Pereslavl’-Zalesskij)
On uniqueness of invariant measures for finite- and infinite-dimensional diffusions. (English) Zbl 0998.60064
A global comparison of finite-dimensional equivariant reductions for a smooth G-invariant functional. (Russian) Zbl 0959.58047
Reviewer: Jürgen Appell (Würzberg)
MSC:
58J70
Toda systems and \(W\)-algebras. (English) Zbl 0926.35139
Wójcik, Daniel (ed.) et al., Proceedings of the first non-orthodox school on nonlinearity and geometry, Luigi Bianchi days, Warsaw, Poland, September 21–28, 1995. Warszawa: Polish Scientific Publishers PWN. 349-358 (1998).
Invariance of a partial differential equation of fractional order under the Lie group of scaling transformations. (English) Zbl 0932.58038
Reviewer: Michael Marvan (Opava)
Lie-Bäcklund and Noether symmetries with applications. (English) Zbl 0912.35011
Reviewer: W.M.Oliva (Lisboa)
Partial differential equations with differential constraints. (English) Zbl 0893.35118
Vinet, Luc (ed.), Advances in mathematical sciences: CRM’s 25 years. Providence, RI: American Mathematical Society. CRM Proc. Lect. Notes. 11, 135-154 (1997).
Reviewer: F.M.Ragab (Cairo)
Dynamics of spiral waves on unbounded domains using center-manifold reductions. (English) Zbl 0888.35053
Fourier transform, oscillatory multipliers and evolution equations in rearrangement invariant function spaces. (English) Zbl 0913.35014
Reviewer: V.Ferone (Napoli)
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