Positive solutions of reaction diffusion equations with superlinear absorption: universal bounds, uniqueness for the Cauchy problem, boundedness of stationary solutions
From MaRDI portal
Publication:2576906
DOI10.1016/j.jde.2005.04.003zbMath1087.35047OpenAlexW2069283430MaRDI QIDQ2576906
Publication date: 29 December 2005
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2005.04.003
Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Maximum principles in context of PDEs (35B50) Initial value problems for second-order parabolic equations (35K15)
Related Items
Universal bound for global solution of nonlinear heat equation ⋮ Liouville type results for a class of quasilinear parabolic problems
Cites Work
- Unnamed Item
- On the inequality \(\Delta u \geqq f (u)\)
- Semigroups of linear operators and applications to partial differential equations
- Semilinear equations in \({\mathbb{R}}^ N\) without condition at infinity
- An intrinsic metric approach to uniqueness of the positive Cauchy problem for parabolic equations
- Uniqueness/nonuniqueness for nonnegative solutions of second-order parabolic equations of the form \(u_{t}=Lu+Vu-\gamma u^{p}\) in \(\mathbb R^{n}\).
- Criteria for the existence of positive solutions to the equation \(\rho(x)\Delta u=u^2\) in \(\mathbb{R}^d\) for all \(d\geq 1\) -- a new probabilistic approach
- Asymptotic behaviour of solutions and their derivatives, for semilinear elliptic problems with blowup on the boundary
- Analysis of the periodically fragmented environment model. I: Species persistence
- On solutions of δu=f(u)
- Problems paraboliques semi-lineaires avec donnees measures
- An Exterior Dirichlet Problem with Applications to Some Nonlinear Equations Arising in Geometry
