An exterior parabolic differential inequality under semilinear dynamical boundary conditions

DOI10.1007/s40840-020-00973-0zbMath1462.35475OpenAlexW3043080709MaRDI QIDQ2021649

Awatif Alqahtani, Bessem Samet, Mohamed Jleli, Mukhtar Bin Muhammad Kirane

Publication date: 27 April 2021

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-020-00973-0

zbMATH Keywords

semilinear parabolic equationexterior domainsemilinear dynamical boundary conditions

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Partial differential inequalities and systems of partial differential inequalities (35R45) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

Related Items (1)

Behavior of solutions to semilinear evolution inequalities in an annulus: the critical cases

Cites Work

• Long-time behavior of reaction-diffusion equations with dynamical boundary condition
• Heat equation with dynamical boundary conditions of reactive-diffusive type
• Well posedness and the global attractor of some quasi-linear parabolic equations with nonlinear dynamic boundary conditions.
• A degenerate diffusion problem with dynamical boundary conditions
• Parabolic problems with dynamical boundary conditions: eigenvalue expansions and blow up
• Heat equation with dynamical boundary conditions of locally reactive type
• Blow up for some quasilinear equations with dynamical boundary conditions of parabolic type
• Blow-up for some equations with semilinear dynamical boundary conditions of parabolic and hyperbolic type
• New blow-up results for nonlinear boundary value problems in exterior domains
• The absence of solutions of elliptic systems with dynamic boundary conditions
• Blow-up results for higher-order evolution differential inequalities in exterior domains
• Quasilinear parabolic systems with dynamical boundary conditions
• Nonexistence of Global Solutions to an Elliptic Equation with a Dynamical Boundary Condition
• The Fujita phenomenon in exterior domains under dynamical boundary conditions
• Evolution equations with dynamic boundary conditions
• Multi-dimensional stefan problems with dynamic boundary conditions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: An exterior parabolic differential inequality under semilinear dynamical boundary conditions