Singular solutions for semi-linear parabolic equations on nonsmooth domains

DOI10.1016/J.JMAA.2006.11.035zbMath1123.35023OpenAlexW2001449033MaRDI QIDQ2370720

Lotfi Riahi

Publication date: 29 June 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.11.035

zbMATH Keywords

Semi-linear parabolic equations, bounded non-tangentially accessible domain, positive singular solutions, fixed point theorem

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55)

Related Items (2)

Time-dependent singularities in semilinear parabolic equations: existence of solutions ⋮ Positive solutions with a time-independent boundary singularity of semilinear heat equations in bounded Lipschitz domains

Cites Work

• Boundary behavior of harmonic functions in non-tangentially accessible domains
• Singular solutions of semilinear elliptic and parabolic equations
• The 3G-inequality for general Schrödinger operators on Lipschitz domains
• Global existence of positive solutions for semilinear parabolic equations in a half-space.
• Global existence and asymptotic behavior of solutions for nonlinear parabolic equations on unbounded domains
• Uniform boundary Harnack principle and generalized triangle property
• Global existence and local continuity of solutions for semilinear parabolic equations
• Global asymptotic behavior of solutions of a semilinear parabolic equation
• From Brownian Motion to Schrödinger’s Equation
• A 3G-Theorem for Jordan Domains in R²
• A harnack inequality for parabolic differential equations
• Boundary Harnack principle and Martin boundary for a uniform domain

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