REMARKS ON THE SOLVABILITY OF THE INHOMOGENEOUS ABSTRACT CAUCHY PROBLEM FOR LINEAR AND SEMILINEAR EVOLUTION EQUATIONS
β Scribed by Banasiak, J.
- Book ID
- 118187262
- Publisher
- Taylor and Francis Group
- Year
- 1999
- Tongue
- English
- Weight
- 418 KB
- Volume
- 22
- Category
- Article
- ISSN
- 1607-3606
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## Abstract In this paper, we develop the approach and techniques of [Boucherif A., Precup R., Semilinear evolution equations with nonlocal initial conditions, Dynam. Systems Appl., 2007, 16(3), 507β516], [Zhou Y., Jiao F., Nonlocal Cauchy problem for fractional evolution equations, Nonlinar Anal.
The present paper is concerned with the global solvability of the Cauchy problem for the quasilinear parabolic equations with two independent variables: Ε½ . Ε½ . u s a t, x, u, u u q f t, x, u, u . We investigate the case of the arbitrary order < < of growth of the function f t, x, u, p with respect