Liouville-type theorem for a nonlinear degenerate parabolic system of inequalities

DOI10.1134/S0001434618010170zbMath1398.35109OpenAlexW2789525985MaRDI QIDQ1646353

Hui Wu

Publication date: 25 June 2018

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

Full work available at URL: https://doi.org/10.1134/s0001434618010170

zbMATH Keywords

global solutionsLiouville-type resultsdegenerate parabolic system of inequalities

Mathematics Subject Classification ID

Partial differential inequalities and systems of partial differential inequalities (35R45) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53) Initial-boundary value problems for second-order parabolic systems (35K51)

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Cites Work

• Unnamed Item
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• Blow-up and nonexistence of solutions of some semilinear degenerate parabolic equations
• Global existence and blow-up phenomena for nonlinear divergence form parabolic equations with inhomogeneous Neumann boundary conditions
• Boundedness and blow up for a semilinear reaction-diffusion system
• A comparison result for FBSDE with applications to decisions theory
• Existence and nonexistence of global solutions of degenerate and singular parabolic systems
• Singularity and decay estimates in superlinear problems via Liouville-type theorems. I: Elliptic equations and systems
• Nonlinear Liouville theorems and a priori estimates for indefinite superlinear elliptic equations
• On the viscosity solutions of a stochastic differential utility problem
• Liouville type theorem for higher order Hardy-Hénon system of inequalities
• Liouville theorems, a priori estimates, and blow-up rates for solutions of indefinite superlinear parabolic problems
• Nonexistence of Positive Supersolutions of Elliptic Equations via the Maximum Principle
• Global and local behavior of positive solutions of nonlinear elliptic equations
• On a Liouville-type theorem and the Fujita blow-up phenomenon
• Some Blowup Results for a Nonlinear Parabolic Equation with a Gradient Term
• On nonexistence of global solutions of some semilinear parabolic differential equations
• Singularity and decay estimates in superlinear problems via Liouville-type theorems. Part II: Parabolic equations

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