The heat equation with point interaction in \(L^ p\) spaces
DOI10.1007/BF01203091zbMath0835.47036MaRDI QIDQ1891851
Zdzisław Brzeźniak, Sergio A. Albeverio, Ludwik Dąbrowski
Publication date: 14 June 1995
Published in: Integral Equations and Operator Theory (Search for Journal in Brave)
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) Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10) Linear operators on function spaces (general) (47B38) Initial value problems for second-order parabolic equations (35K15)
Cites Work
- Semigroups of linear operators and applications to partial differential equations
- Perturbation of the Laplacian by the Coulomb potential and a point interaction in \(L^ p(\mathbb{R}^ 3)\)
- A new class of point interactions in one dimension
- Fundamental solution of the heat and Schrödinger equations with point interaction
- Energy forms, Hamiltonians, and distorted Brownian paths
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