Object's details: Existence, regularity and asymptotic behavior of solutions for a nonlocal Chafee-Infante problem via semigroup theory

Provider:Akademicka Platforma Czasopism

Description

Title:
Existence, regularity and asymptotic behavior of solutions for a nonlocal Chafee-Infante problem via semigroup theory
Creator:
Caraballo, Tomás;
Carvalho, Alexandre N.;
Julio, Yessica
Description:
This article deals with the study of a non-local one-dimensional quasilinear problem with continuous forcing. We use a time-reparameterization to obtain a semilinear problem and study a more general equation using semigroup theory. The existence of mild solutions is established without uniqueness with the aid of the formula of variation of constants and asking only a suitable modulus of continuity on the nonlinearity this mild solution is shown to be strong. Comparison results are also established with the aid of the formula of variation of constants and using these comparison results, global existence is obtained with the additional requirement that the nonlinearity satisfy a structural condition. The existence of pullback attractor is also established for the associated multivalued process along with the uniform bounds given by the comparison results with the additional requirement that the nonlinearity be dissipative. As much as possible the results are abstract so that they can be also applied to other models.
Object availability:
free access
Date:
2025.06.14
Type:
info:eu-repo/semantics/article;
info:eu-repo/semantics/publishedVersion;
Recenzowany artykuł
Language:
English
Source:
Topological Methods in Nonlinear Analysis; Online First Articles; 1 - 29;
1230-3429
Publisher:
Nicolaus Copernicus University in Toruń
Relation: https://apcz.umk.pl/TMNA/article/view/62309/42819 ;https://apcz.umk.pl/TMNA/article/view/62309/42820
Subject:
Non-local quasilinear parabolic problems without uniqueness;
existence and regularity of solutions;
comparison results;
35B41, 35K58
Identifier: https://apcz.umk.pl/TMNA/article/view/62309
Data provider:
Akademicka Platforma Czasopism

Similar objects

Existence, regularity and asymptotic behavior of solutions for a nonlocal Chafee-Infante problem via semigroup theory

Creator:Caraballo, Tomás | Carvalho, Alexandre N. | Julio, Yessica

Date:2025.06.14

Type:other

Pseudodifferential parabolic equations; two examples

Creator:Dłotko, Tomasz | Kania, Maria B. | Sun, Chunyou

Date:2016.04.12

Type:other

Exponential attractor for the Cahn-Hilliard-Oono equation in R^N

Creator:Cholewa, Jan W. | Czaja, Radosław

Date:2023.12.31

Type:other

Decently regular steady solutions to the compressible NSAC system

Creator:Axman, Šimon

Date:2016.05.29

Type:other

Semilinear fractional differential equations: global solutions, critical nonlinearities and comparison results

Creator:Carvalho, Alexandre Nolasco | Carvalho-Neto, Paulo M. Carvalho-Neto | Marín-Rubio, Pedro | Andrade, Bruno de

Date:2015.06.01

Type:other

Continuity of Lyapunov functions and of energy level for a generalized gradient semigroup

Creator:Aragão-Costa, Eder R. | Caraballo, Tomás | Carvalho, Alexandre N. | Langa, José A.

Date:2012.04.23

Type:other

Parabolic equations with localized large diffusion: Rate of convergence of attractors

Creator:Carvalho, Alexandre N. | Pires, Leonardo

Date:2019.02.16

Type:other

The somatic profile and motor performance of the students of the faculty of chemical and food technology slovak university of technology in Bratislava in five years period

Creator:Hančák, Jaroslav | Pělucha, Robin

Type:image

Can I use it?:seek permission

Federacja Bibliotek Cyfrowych

Object's details: Existence, regularity and asymptotic behavior of solutions for a nonlocal Chafee-Infante problem via semigroup theory

Description

Similar objects