Existence and uniqueness of the solution to a degenerate third boundary value problem for a multidimensional parabolic equation

DOI10.1134/S0037446622040139zbMath1495.35095OpenAlexW4288060942MaRDI QIDQ2160188

V. V. Shubin, A. I. Kozhanov

Publication date: 3 August 2022

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446622040139

zbMATH Keywords

third boundary value problemdegeneration in the boundary condition

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

• Blow-up phenomena for some nonlinear parabolic problems under Robin boundary conditions
• Green's functions for elliptic and parabolic systems with Robin-type boundary conditions
• Heat kernel bounds for elliptic partial differential operators in divergence form with Robin-type boundary conditions
• On the existence and nonexistence of global solutions for certain semilinear exterior problems with nontrivial Robin boundary conditions
• Analogs of Giraud's theorem for a second-order parabolic equation
• Global and blow-up solutions for nonlinear parabolic equations with Robin boundary conditions
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