Analytic semigroups of pseudodifferential operators on vector-valued Sobolev spaces

DOI10.1007/S00574-014-0046-XzbMath1297.35301OpenAlexW2091998760MaRDI QIDQ744422

B. Barraza Martínez, J. Hernández Monzón, Robert Denk

Publication date: 25 September 2014

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: http://nbn-resolving.de/urn:nbn:de:bsz:352-193526

zbMATH Keywords

analytic semigroupspseudodifferential operatorsvector-valued Sobolev spaces

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) One-parameter semigroups and linear evolution equations (47D06) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20) Pseudodifferential operators (47G30)

Related Items (2)

Generation of semigroups for vector-valued pseudodifferential operators on the torus ⋮ Pseudodifferential operators with non-regular operator-valued symbols

Cites Work

• On elliptic systems in \(L^ 1\)
• Coagulation-fragmentation processes
• Pseudodifferential operators on Bochner spaces and an application
• Operator-Valued Fourier Multipliers, Vector - Valued Besov Spaces, and Applications
• A Joint Functional Calculus for Sectorial Operators with Commuting Resolvents
• Operator–valued Fourier multiplier theorems on Besov spaces
• Analytic semigroups and optimal regularity in parabolic problems
• Elliptic operators with infinite-dimensional state spaces
• Operator-valued Fourier multiplier theorems and maximal \(L_p\)-regularity
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