A diffusive logistic equation with concentrated and nonlocal sources
Copyright policy )A diffusive logistic equation with concentrated and nonlocal sources
In this paper, we study a reaction‐diffusion equation where nonlinear memory and concentration effects are considered at the same time. We are specially concerned with the local solvability of this problem for singular initial data in Lebesgue spaces. We also analyze the vanishing concentration problem and prove a blow‐up alternative. Copyright © 2017 John Wiley & Sons, Ltd.
- UNIVERSIDADE DE SAO PAULO Brazil
- Universidade Estadual do Maranhão Brazil
- Universidade Federal de Sergipe Brazil
- Universidade Federal de Pernambuco Brazil
partial integrodifferential equation, local solvability, Second-order parabolic equations, Positive solutions to PDEs, concentrated source, Existence problems for PDEs: global existence, local existence, non-existence, memory effect, logistic equation, Semilinear parabolic equations, Continuation and prolongation of solutions to PDEs
partial integrodifferential equation, local solvability, Second-order parabolic equations, Positive solutions to PDEs, concentrated source, Existence problems for PDEs: global existence, local existence, non-existence, memory effect, logistic equation, Semilinear parabolic equations, Continuation and prolongation of solutions to PDEs
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).2 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!