Existence and uniqueness of solutions for a non-uniformly parabolic equation

DOI10.1016/S0022-0396(02)00059-1zbMath1012.35048OpenAlexW2026015350MaRDI QIDQ1868898

Jinghua Wang, Gerald Warnecke

Publication date: 28 April 2003

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-0396(02)00059-1

zbMATH Keywords

classical solutionsgeneralized Burgers equationrough initial data

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15)

Related Items (9)

Numerical solution of one‐dimensional Burgers' equation ⋮ A computational method for solving one-dimensional variable-coefficient Burgers equation ⋮ Atoms confined by very thin layers ⋮ Existence and decay rates of solutions to the generalized Burgers equation. ⋮ Large-time behavior of smooth solutions to a nonuniformly parabolic equation ⋮ Very weak solutions to elliptic equations with nonlinear Neumann boundary conditions ⋮ A sixth-order compact finite difference scheme to the numerical solutions of Burgers' equation ⋮ Sobolev estimates for non-uniformly parabolic PDEs ⋮ THE REPRODUCING KERNEL METHOD FOR SOME VARIATIONAL PROBLEMS DEPENDING ON INDEFINITE INTEGRALS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lectures on nonlinear hyperbolic differential equations
• Wave interactions and variation estimates for self-similar zero-viscosity limits in systems of conservation laws
• Solution of the Riemann problem for a class of hyperbolic systems of conservation laws by the viscosity method
• The Sharp Form of Oleinik's Entropy Condition in Several Space Variables
• Local Error Estimates for Discontinuous Solutions of Nonlinear Hyperbolic Equations
• The long time asymptotics of solutions to the generalized Burgers equation
• Asymptotic solutions of model equations in nonlinear acoustics
• Discontinuous solutions of non-linear differential equations
• Resolution of the spherical piston problem for compressible isentropic gas dynamics via a self-similar viscous limit

This page was built for publication: Existence and uniqueness of solutions for a non-uniformly parabolic equation