Existence of unbounded solutions to parabolic equations with functional dependence

Agnieszka Bartłomiejczyk

doi:10.1002/mana.200310123

Existence of unbounded solutions to parabolic equations with functional dependence

Abstract

The Cauchy problem for nonlinear parabolic differential-functional equations is considered. Under natural generalized Lipschitz-type conditions with weights, the existence and uniqueness of unbounded solutions is obtained in three main cases: (i) the functional dependence u(·); (ii) the functional dependence u(·) and ∂xu(·); (iii) the functional dependence u(·)and the pointwise dependence ∂xu(t,x).

Citations

2

CrossRef
0

Web of Science
2

Scopus

Author (1)

Agnieszka Bartłomiejczyk (formerly: Agnieszka Bychowska) dr

Cite as

Full text

full text is not available in portal

full content of the article see on external site open in new tab

Keywords

Details

Category:: Articles
Type:: artykuł w czasopiśmie wyróżnionym w JCR
Published in:: MATHEMATISCHE NACHRICHTEN no. 263-264, edition 1, pages 53 - 66,
ISSN: 0025-584X
Language:: English
Publication year:: 2004
Bibliographic description:: Bychowska A.: Existence of unbounded solutions to parabolic equations with functional dependence// MATHEMATISCHE NACHRICHTEN. -Vol. 263-264, iss. 1 (2004), s.53-66
DOI:: Digital Object Identifier (open in new tab) 10.1002/mana.200310123
Verified by:: Gdańsk University of Technology