Wellposedness Results for a Class of Parabolic Partial Differential Equations with Hysteresis
✍ Scribed by Michela Eleuteri
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2008
- Tongue
- English
- Weight
- 545 KB
- Volume
- 15
- Category
- Article
- ISSN
- 1021-9722
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📜 SIMILAR VOLUMES
Some sufficient condlt]ons are estabhshed for the oscillation of a class of neutral parabolic differential equations of the form, ## oN (u(x,t) --k~=l)~ku(x,t --Pk)) OtlV -a(t)&u+ Ep~(x,t)u(x,t--a~)-qj (x,t)u(x,t-Tj) where N is an odd number, f~ is a bounded domain in R M with a smooth boundary 0
This paper is concerned with the existence of mild and classical solutions of nonlocal Cauchy problems. We assume that the linear part generates an analytic compact bounded semigroup, and that the nonlinear part is a Hölder continuous function with respect to the fractional power norm of the linear