Well-posedness and maximum principles for lattice reaction-diffusion equations

DOI10.1515/anona-2016-0116zbMath1415.35068OpenAlexW2595306827MaRDI QIDQ2417215

Jonáš Volek, Antonín Slavík, Petr Stehlík

Publication date: 12 June 2019

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11025/33874

zbMATH Keywords

existence and uniquenesscontinuous dependence

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Maximum principles in context of PDEs (35B50) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Discrete version of topics in analysis (39A12) Initial value problems for second-order parabolic equations (35K15) Initial value problems for nonlinear first-order PDEs (35F25) Ordinary lattice differential equations (34A33) Partial difference equations (39A14)

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Optimal harvesting strategies of a stochastic competitive model with S-type distributed time delays and Lévy jumps ⋮ The generalized porous medium equation on graphs: existence and uniqueness of solutions with \(\ell^1\) data ⋮ On a connection between the \(N\)-dimensional fractional Laplacian and 1-D operators on lattices ⋮ Discrete advection-diffusion equations on graphs: maximum principle and finite volumes ⋮ Global existence and nonexistence for a class of finitely degenerate coupled parabolic systems with high initial energy level

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