Spectral theory and Cauchy problems on \(L^p\) spaces

DOI10.1007/BF02572342zbMath0905.47035OpenAlexW1973301987MaRDI QIDQ1340621

Matthias Hieber

Publication date: 18 January 1999

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174671

zbMATH Keywords

numerical rangelocation of the spectrum

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Numerical range, numerical radius (47A12) General theory of ordinary differential operators (47E05) General theory of partial differential operators (47F05)

Related Items (5)

Spectral theory of positive semigroups generated by differential operators ⋮ Extension problem and fractional operators: semigroups and wave equations ⋮ Applications of semigroups of operators to non-elliptic differential operators ⋮ Preface ⋮ The Schrödinger equation in \(L^p\) spaces for operators with heat kernel satisfying Poisson type bounds

Cites Work

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• Estimates for translation invariant operators in \(L^p\) spaces
• Vector-valued Laplace transforms and Cauchy problems
• Integrated semigroups and their applications to the abstract Cauchy problem
• Integrated semigroups and differential operators on \(L^ p\) spaces
• L p Estimates for Schrodinger Evolution Equations
• L p Behavior of Certain Second Order Partial Differential Operators
• The Spectrum of Partial Differential Operators on L p (R n )

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