A simple characterization of positivity preserving semi-linear parabolic systems
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Publication:4691158
DOI10.4134/JKMS.j160701zbMath1398.35118arXiv1610.09909MaRDI QIDQ4691158
Publication date: 18 October 2018
Full work available at URL: https://arxiv.org/abs/1610.09909
Neumann boundary conditionsinvariant regionssemilinear parabolic systemssystems of ODEDirichlet boundary conditions positivity preserving flow
Abstract parabolic equations (35K90) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Semilinear parabolic equations (35K58) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91) Comparison principles in context of PDEs (35B51)
Cites Work
- Unnamed Item
- On a result of K. Masuda concerning reaction-diffusion equations
- On the global existence and asymptotic behavior of solutions of reaction- diffusion equations
- An application of the invariance principle to reaction diffusion equations
- Estimations C1 pour des problèmes paraboliques semi-linéaires
- Global Existence and Boundedness in Reaction-Diffusion Systems
- Differential Equations on Closed Subsets of a Banach Space
- Invariant sets for a class of semi-linear equations of evolution
- On the Global Existence of Solutions of a Reaction-Diffusion Equation with Exponential Nonlinearity
- On a characterization of flow‐invariant sets
