Gradient estimates for solutions of parabolic equations and systems
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Publication:920281
DOI10.1016/0022-247X(90)90350-OzbMath0708.35018OpenAlexW2056173347MaRDI QIDQ920281
Stephan Luckhaus, Bernhard Kawohl, Hans Engler
Publication date: 1990
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-247x(90)90350-o
Nonlinear parabolic equations (35K55) A priori estimates in context of PDEs (35B45) Initial value problems for second-order parabolic systems (35K45)
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Cites Work
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- Continuity of the gradient for weak solutions of a degenerate parabolic equation
- On the asymptotic behaviour of solutions of nonlinear parabolic equations
- Global solutions of reaction-diffusion systems
- Contractive properties for the heat equation in Sobolev spaces
- Existence and decay of global solutions of some nonlinear degenerate parabolic equations
- Qualitative properties of solutions to semilinear heat equations
- Maximum principles and their applications
- Gradient estimates for degenerate diffusion equations. I
- Estimates for evolutionary surfaces of prescribed mean curvature
- Evolutionary surfaces of prescribed mean curvature
- Eigenvalue bounds for AB+BA, with A, B positive definite matrices
- Quantitative maximum principles and strongly coupled gradient-like reaction-diffusion systems
- Remarks on invariance in reaction- diffusion equations
- The problem of dirichlet for quasilinear elliptic differential equations with many independent variables