REAL ANALYTICITY OF SOLUTIONS TO SCHRODINGER EQUATIONS INVOLVING A FRACTIONAL LAPLACIAN AND OTHER FOURIER MULTIPLIERS

被引：0

作者：

Dall'Acqua, A. ^{[1
]}

Fournais, S. ^{[2
]}

Sorensen, T. Ostergaard ^{[3
]}

Stockmeyer, E. ^{[3
]}

机构：

[1] Max Planck Inst Math Sci, Inselstr 22, D-04103 Leipzig, Germany

[2] Aarhus Univ, Dept Math, Aarhus, Denmark

[3] LMU Munchen, Dept Mathemat Inst, D-80333 Munich, Germany

来源：

XVIITH INTERNATIONAL CONGRESS ON MATHEMATICAL PHYSICS | 2014年

关键词：

Elliptic regularity; analyticity; fractional Laplacians; pseudorelativistic Schrodinger equations;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove analyticity of solutions in R-n, n >= 1, to certain nonlocal linear Schrodinger equations with analytic potentials.

引用

页码：600 / 609

页数：10

共 6 条

[1]

[Anonymous], 1969, Die Grundlehren der mathematischen Wissenschaften

Dall'Acqua, Anna ;

Fournais, Soren ;

Sorensen, Thomas Ostergaard ;

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[3]

Krantz S.G., 2002, BIRKHAUSER ADV TEXTS, DOI DOI 10.1007/978-0-8176-8134-0

[4]

Lieb E.H., 2001, Grad. Stud. Math., V14

[5]

Reed M., 1972, Methods of modern mathematical physics. II. Fourier analysis, self-adjointness

[6] Relativistic Scott Correction for Atoms and Molecules [J].

Solovej, Jan Philip ;

Sorensen, Thomas Ostergaard ;

Spitzer, Wolfgang Ludwig .