Smoothing and Strichartz Estimates for Perturbed Schrödinger, Klein-Gordon and Wave Equations in Exterior Domain
Author:
Affiliation:
1. Chuo University
2. Tokyo Metropolitan College of Industrial Technology
Publisher
Division of Functional Equations, The Mathematical Society of Japan (JST)
Subject
Geometry and Topology,Algebra and Number Theory,Analysis
Link
https://www.jstage.jst.go.jp/article/fesi/63/2/63_199/_pdf
Reference30 articles.
1. [1] Barcelo, J. A., Ruiz, A. and Vega, L., Weighted estimates for the Helmholtz equation and some applications, J. Funct. Anal., 150 (1997), 356-382.
2. [2] Ben-Artzi, M., Global estimates for the Schrödinger operators, J. Funct. Anal., 107 (1992), 362-368.
3. [3] Burq, N., Global Strichartz estimates for nontrapping geometry: A remark about an article by H. Smith and C. Sogge, Comm. Partial Differential Equations, 28 (2003), 1675-1683.
4. [4] Burq, N., Gérard, P. and Tzvetkov, N., On nonlinear Schrödinger equations in exterior domains, Ann. I. H. Poincaré, 21 (2004), 295-318.
5. [5] Christ, M. and Kiselev, A., Maximal functions associated to filtrations, J. Funct. Anal., 179 (2001), 409-425.
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