Source-type solutions of heat equations with convection in several variables space

DOI10.1007/s11425-011-4219-4zbMath1359.35101OpenAlexW2084412758MaRDI QIDQ657281

Hong-Ming Yin, Guofu Lu

Publication date: 16 January 2012

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-011-4219-4

zbMATH Keywords

existence and nonexistencesource-type solutionheat equation with convection

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for second-order parabolic equations (35K15) Semilinear parabolic equations (35K58)

Related Items (6)

Nonexistence and short time asymptotic behavior of source-type solution for porous medium equation with convection in one-dimension ⋮ Source-type solution to nonlinear Fokker-Planck equation in one dimension ⋮ Very singular solution and short time asymptotic behaviors of nonnegative singular solutions for heat equation with nonlinear convection ⋮ A remark on removable singularity for nonlinear convection-diffusion equation ⋮ Existence of weak solutions to a convection-diffusion equation in amalgam spaces ⋮ Existence of weak solutions to a convection-diffusion equation in a uniformly local Lebesgue space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hölder estimates for solutions of uniformly degenerate quasilinear parabolic equations
• Source-type solutions of degenerate diffusion equations with absorption
• Source-type solutions of degenerate quasilinear parabolic equations
• Hölder estimates of solutions of singular parabolic equations with measurable coefficients
• Source-type solutions for equations of nonstationary filtration
• A priori \(L^\infty\)-estimate and existence of solutions for some nonlinear parabolic equations
• On critical exponents for the heat equation with a nonlinear boundary condition
• Self-Similar Solutions of a Convection Diffusion Equation And Related Semilinear Elliptic Problems
• Unitary operators on space Π
• Entropy Solutions for Diffusion-Convection Equations with Partial Diffusivity

This page was built for publication: Source-type solutions of heat equations with convection in several variables space