Admissible and regular potentials for positive \(C_ 0\)-semigroups and application to heat semigroups

DOI10.1007/BF02573657zbMath0817.47050MaRDI QIDQ1313480

Manabu Ishikawa

Publication date: 31 January 1994

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/135300

zbMATH Keywords

heat equationinitial value problemsemi-group theoryVoigt's perturbation theory of positive \(C_ 0\)-semigroups in \(L^ p\) spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) One-parameter semigroups and linear evolution equations (47D06)

Related Items (2)

A note on absorption semigroups and regularity ⋮ Analyticity of absorption semigroups

Cites Work

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• Towards the theory of Schrödinger semigroups. I
• Semigroups of linear operators and applications to partial differential equations
• A regular potential which is nowhere in \(L_ 1\)
• Absorption semigroups, their generators, and Schrödinger semigroups
• Self-adjoint operators
• Schrödinger operators with \(L^p_{loc}\)-potentials
• Schrödinger semigroups
• Weakly Differentiable Functions

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