On the Bernstein-Nagumos condition in the theory of nonlinear parabolic equations

DOI10.1515/crll.2004.049zbMath1053.35061OpenAlexW2038445375MaRDI QIDQ4810866

Alkis S. Tersenov, Aris S. Tersenov

Publication date: 17 August 2004

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crll.2004.049

zbMATH Keywords

Dirichlet boundary conditionNeumann boundary conditionRobin boundary conditiongrowth conditionsboundary regularityone spatial dimension

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60)

Related Items (11)

Existence of Lipschitz continuous solutions to the Cauchy-Dirichlet problem for anisotropic parabolic equations ⋮ The problem of Dirichlet for anisotropic quasilinear degenerate elliptic equations ⋮ On variational inequalities with multivalued perturbing terms depending on gradients ⋮ Influence of Gradient Terms on the Existence of Solutions to the Dirichlet Problem for p-Laplacian ⋮ On the generalized Burgers equation ⋮ Input-to-state stability with respect to boundary disturbances for a class of semi-linear parabolic equations ⋮ On global solutions for quasilinear one-dimensional parabolic problems with dynamical boundary conditions ⋮ The one dimensional parabolic \(p(x)\)-Laplace equation ⋮ The problem of Dirichlet for evolution one-dimensional \(p\)-Laplacian with nonlinear source ⋮ Smoothing effect of absorption for degenerate parabolic equations in 1-d ⋮ Radially Symmetric Solutions of the p-Laplace Equation with Gradient Terms

Cites Work

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