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Maximal regularity in continuous interpolation spaces and quasilinear parabolic equations

✍ Scribed by Philippe Clément; Gieri Simonett


Publisher
Springer
Year
2001
Tongue
English
Weight
182 KB
Volume
1
Category
Article
ISSN
1424-3199

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Solvability and Maximal Regularity of Pa
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A и g C 0, T , L L D A 0 , X and construct the corresponding evolution family on the underlying Banach space X. Our proofs are based on the operator sum method and the use of evolution semigroups. The results are applied to parabolic partial differential equations with continuous coefficients.