Existence and uniqueness of weak solutions for a class of nonlinear parabolic equations

DOI10.3934/era.2017.24.005zbMath1404.35236OpenAlexW2626313729MaRDI QIDQ1757286

Peiying Chen

Publication date: 3 January 2019

Published in: Electronic Research Announcements in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/era.2017.24.005

zbMATH Keywords

weak solutionexistenceuniquenessvariation problem\(\mathcal{N}\)-function

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Geometry and structure of normed linear spaces (46B20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

Related Items (3)

Global well-posedness of solutions for fourth order dispersive wave equation with nonlinear weak damping, linear strong damping and logarithmic nonlinearity ⋮ Existence and uniqueness of weak solutions for novel anisotropic nonlinear diffusion equations related to image analysis ⋮ Existence and uniqueness of weak solutions for a new class of convex optimization problems related to image analysis

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