Strichartz estimates for non‐degenerate Schrödinger equations
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DOI: 10.1002/mana.201800148
Abstract: We consider the Schrödinger equation with a non‐degenerate metric on the Euclidean space. We study local in time Strichartz estimates for the Schrödinger equation without loss of derivatives including the endpoint case. In contrast to… read more here.
Keywords: dinger equation; strichartz estimates; estimates non; non degenerate ... See more keywords
Limiting Absorption Principle and Strichartz Estimates for Dirac Operators in Two and Higher Dimensions
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DOI: 10.1007/s00220-018-3231-8
Abstract: In this paper we consider Dirac operators in $${\mathbb{R}^n}$$Rn, $${n \ge 2}$$n≥2, with a potential V. Under mild decay and continuity assumptions on V and some spectral assumptions on the operator, we prove a limiting… read more here.
Keywords: dirac operators; limiting absorption; strichartz estimates; absorption principle ... See more keywords
Dispersive and Strichartz estimates for 3D wave equation with a Laguerre potential
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DOI: 10.4153/s0008414x24000166
Abstract: Abstract Dispersive and Strichartz estimates are obtained for solutions to the wave equation with a Laguerre potential in spatial dimension three. To obtain the desired dispersive estimate, based on the spectral properties of the Schrödinger… read more here.
Keywords: dispersive strichartz; equation laguerre; wave equation; laguerre potential ... See more keywords