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Regularity in parabolic systems with continuous coefficients

✍ Scribed by V. Bögelein; M. Foss; G. Mingione

Book ID
113021399
Publisher
Springer-Verlag
Year
2011
Tongue
French
Weight
411 KB
Volume
270
Category
Article
ISSN
0025-5874

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Solvability and Maximal Regularity of Pa
Solvability and Maximal Regularity of Parabolic Evolution Equations with Coefficients Continuous in Time
✍ Jan Prüss; Roland Schnaubelt 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 191 KB

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.