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Existence of unbounded solutions to parabolic equations with functional dependence

✍ Scribed by Agnieszka Bychowska

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
188 KB
Volume
263-264
Category
Article
ISSN
0025-584X

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✦ Synopsis

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 ∂~x~u(·); (iii) the functional dependence u(·) and the pointwise dependence ∂~x~u(t, x). (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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