Spectra of partial differential operators

書誌事項

Spectra of partial differential operators

by Martin Schechter

(North-Holland series in applied mathematics and mechanics, v. 14)

North-Holland, 1986

2nd ed

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注記

Bibliography: p. 301-307

Includes index

内容説明・目次

内容説明

New material, improvements and recent advances have been added to this second revised edition. The volume examines the general theory for constant coefficient operators, elliptic operators, the L 2 theory for operators bounded from below, and self-adjoint operators. A comprehensive theory for second order operators is given, and applied to quantum mechanical systems of particles. Since many of the topics treated here are of interest to chemists, engineers, mathematicians and physicists, the volume begins with background and reference material.

目次

1. Functional Analysis. 2. Function Spaces. 3. Partial Differential Operators. 4. General L p Theory. 5. Relative Compactness. 6. Elliptic Operators. 7. Operators Bounded from Below. 8. Self-Adjoint Extensions. 9. Second Order Operators. 10. Applications. 11. Notes, Remarks and References. Bibliography. Subject Index.

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