On positive solutions of the heat equation satisfying a nonlinear boundary condition

DOI10.1134/S0012266110080057zbMath1209.35056OpenAlexW2071954977WikidataQ115252502 ScholiaQ115252502MaRDI QIDQ608940

Vladimir Kondratiev

Publication date: 29 November 2010

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

Full work available at URL: https://doi.org/10.1134/s0012266110080057

zbMATH Keywords

classical solution

Mathematics Subject Classification ID

Partial differential inequalities and systems of partial differential inequalities (35R45) Heat equation (35K05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Positive solutions to PDEs (35B09)

Related Items

Vladimir Alexandrovich Kondratiev. July 2, 1935--March 11, 2010

Cites Work

• On critical Fujita exponents for heat equations with nonlinear flux conditions on the boundary
• On critical exponents for the heat equation with a nonlinear boundary condition
• The blow‐up rate for the heat equation with a non‐linear boundary condition
• On nonexistence of global solutions of some semilinear parabolic differential equations