Existence, uniqueness and non-uniqueness of weak solutions of parabolic initial-value problems with discontinuous nonlinearities
From MaRDI portal
Publication:3367528
DOI10.1017/S0308210500004315zbMath1130.35076OpenAlexW2050111419MaRDI QIDQ3367528
Publication date: 24 January 2006
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0308210500004315
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Initial value problems for second-order parabolic equations (35K15)
Related Items (11)
Generalized solutions of parabolic initial value problems with discontinuous nonlinearities ⋮ A reaction-diffusion system arising in game theory: existence of solutions and spatial dominance ⋮ Stationary Waves on the Sphere ⋮ Hydrodynamic limit of the Schelling model with spontaneous Glauber and Kawasaki dynamics ⋮ Weak solutions of a parabolic system with a discontinuous nonlinearity ⋮ The propagation phenomenon of solutions of a parabolic problem on the sphere ⋮ On the exact number of monotone solutions of a simplified Budyko climate model and their different stability ⋮ On weak solutions of parabolic initial value problems with discontinuous nonlinearities ⋮ Existence, uniqueness and stability of weak solutions of parabolic systems with discontinuous nonlinearities ⋮ On maximum and comparison principles for parabolic problems with the \(p\)-Laplacian ⋮ Generalized solutions of semilinear parabolic equations
This page was built for publication: Existence, uniqueness and non-uniqueness of weak solutions of parabolic initial-value problems with discontinuous nonlinearities