On the support properties of solutions for some degenerate quasilinear parabolic systems

DOI10.1016/0362-546X(90)90107-RzbMath0707.35008OpenAlexW2001768796MaRDI QIDQ3488476

Takasi Senba

Publication date: 1990

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(90)90107-r

zbMATH Keywords

Cauchy problemquasilinearsupport\(L^{\infty }\)-norm

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Degenerate parabolic equations (35K65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) A priori estimates in context of PDEs (35B45)

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On a certain system of degenerate parabolic equations which arises in hydrodynamics, Boundedness and blow-up behavior for reaction–diffusion systems in a bounded domain

Cites Work

• Uniqueness of solutions of the initial-value problem for \(u_t- \Delta\varphi (u)=0\)
• The Behavior of the Support of Solutions of the Equation of Nonlinear Heat Conduction with Absorption in One Dimension
• Asymptotic Behaviour and Propagation Properties of the One-Dimensional Flow of Gas in a Porous Medium
• The One-Dimensional Nonlinear Heat Equation with Absorption: Regularity of Solutions and Interfaces
• О Поведении приt→∞ решений вырождающихся квазилинейных параБолических уравнений
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces
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