Initial boundary value problem for a semilinear parabolic equation with nonlinear nonlocal boundary condition

A Gladkov, T Kavitova - arXiv preprint arXiv:1412.5021, 2014 - arxiv.org
In this paper we consider an initial boundary value problem for a semilinear parabolic
equation with nonlinear nonlocal boundary condition. We prove comparison principle, the …

Initial boundary value problem for a semilinear parabolic equation with absorption and nonlinear nonlocal boundary condition*

A Gladkov - Lithuanian Mathematical Journal, 2017 - Springer
We consider an initial boundary value problem for a semilinear parabolic equation with
absorption and nonlinear nonlocal Neumann boundary condition. We prove a comparison …

A Reaction‐Diffusion System with Nonlinear Nonlocal Boundary Conditions

A Gladkov, A Nikitin - International Journal of Partial Differential …, 2014 - Wiley Online Library
A Reaction‐Diffusion System with Nonlinear Nonlocal Boundary Conditions - Gladkov - 2014 -
International Journal of Partial Differential Equations - Wiley Online Library Skip to Article …

[HTML][HTML] A necessary and sufficient condition for uniqueness of the trivial solution in semilinear parabolic equations

R Laister, JC Robinson, M Sierżęga - Journal of Differential Equations, 2017 - Elsevier
In their (1968) paper Fujita and Watanabe considered the issue of uniqueness of the trivial
solution of semilinear parabolic equations with respect to the class of bounded, non …

Self-similarity and uniqueness of solutions for semilinear reaction-diffusion systems

LCF Ferreira, E Mateus - 2010 - projecteuclid.org
We study the well posedness of the initial-value problem for a coupled semilinear reaction-
diffusion system in Marcinkiewicz spaces L^(p_1,∞)(Ω)*L^(p_2,∞)(Ω). The exponents …

[PDF][PDF] Начально-краевая задача для полулинейного параболического уравнения с нелинейными нелокальными граничными условиями

АЛ Гладков, TВ Кавитова - Український математичний журнал, 2016 - irbis-nbuv.gov.ua
Отметим, что при p< 1 и l< 1 нелинейности соответственно в уравнении (1.1) и
граничном условии (1.2) не удовлетворяют условию Липшица в правой …

[PDF][PDF] Research Article A Reaction-Diffusion System with Nonlinear Nonlocal Boundary Conditions

A Gladkov, A Nikitin - 2014 - researchgate.net
Research Article A Reaction-Diffusion System with Nonlinear Nonlocal Boundary Conditions
Page 1 Research Article A Reaction-Diffusion System with Nonlinear Nonlocal Boundary …

Auto-similaridade e unicidade para um sistema semilinear, e existência de solução com dado singular para a equação da onda semilinear

E Mateus de Souza - 2008 - bdtd.ibict.br
Obtivemos a boa-colocação global de soluções pequenas em espaços de Marcinkiewicz L
(p1;¥)£ L (p2;¥) para um sistema semilinear. Soluções brandas são obtidas em espaços …

[引用][C] О существовании и единственности решений начально-краевых задач для систем полулинейных параболических уравнений с нелинейными …

АИ Никитин - 2021 - Минск