Research Catalog

Title

Higher order partial differential equations in Clifford analysis : effective solutions to problems / Elena Obolashvili.

Author

Obolashvili, E. I. (Elena Irodionovna)

Publication

Boston : Birkhäuser, 2003.

Items in the Library & Off-site

Details

Description

viii, 178 pages : illustrations; 24 cm.

Series Statement

Progress in mathematical physics ; 28

Uniform Title

Progress in mathematical physics ; v. 28.

Subjects

• Clifford algebras
• Differential equations, Parabolic

Bibliography (note)

• Includes bibliographical references {p. [173]-175) and index.

Contents

• I. Boundary Value Problems for Regular, Generalized Regular and Pluriregular Elliptic Equations. I. Two-Dimensional Cases. 1. BVP for Holomorphic Functions. 2. BVP for Generalized Holomorphic Functions. 3. Mixed BVP for Generalized Holomorphic Functions. 4. BVP for Beltrami and Generalized Beltrami Equations. 5. BVP for Pluriholomorphic, Plurigeneralized Holomorphic, Polyharmonic, Polymetaharmonic Functions and the PluriBeltrami Equation. 6. Nonlocal Problems for Biholomorphic Functions. 7. More BVP for Pluriholomorphic and Plurigeneralized Holomorphic Functions. II. Multidimensional Cases. 1. BVP for Regular and Generalized Regular Functions, and the Hobson Formula in Clifford Analysis. 2. BVP for Pluriregular, Generalized Pluriregular, and Polyharmonic Functions and the Poly-Helmholtz Equation. 3. BVP for Beltrami, Generalized Beltrami, and Pluri-Beltrami Equations in Clifford Analysis. 4. More Problems for Pluriregular and Plurigeneralized Regular Functions --
• II. Initial Value Problems for Regular and Pluriregular, Hyperbolic and Parabolic Equations. III. Hyperbolic and Plurihyperbolic Equations in Clifford Analysis. 1. IVP for Hyperbolic Systems (Maxwell and Dirac Equations). 2. B&IVP for Pluriregular and Plurigeneralized Regular Hyperbolic Systems, Polywave and Poly-Klein - Gordon Equations, Harmonic-Wave and Harmonic Klein-Gordon Equations. 3. Pluri-Beltrami Hyperbolic Equations. IV. Parabolic and Pluriparabolic Equations in Clifford Analysis. 1. IVP for Parabolic Systems in Clifford Analysis. 2. Pluriparabolic Systems and Polyheat Equations. 3. Parabolic Regular Equations of the Second Kind and IVP. 4. Elliptic-Parabolic, Hyperbolic-Parabolic and Elliptic-Hyperbolic-Parabolic Equations.

ISBN

• 0817642862 (alk. paper)
• 3764342862 (alk. paper)

LCCN

2002026005

OCLC

• 50041561
• ocm50041561
• SCSB-4321256

Owning Institutions

Columbia University Libraries