Degenerate and other problems /
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| Author / Creator: | Dzhuraev, A. (Abdukhamid), 1932- |
|---|---|
| Imprint: | Harlow, Essex, England : Longman Scientific and Technical ; New York : Wiley, 1992. |
| Description: | 316 p. ; 25 cm. |
| Language: | English |
| Series: | Pitman monographs and surveys in pure and applied mathematics 61 |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/1470314 |
Table of Contents:
- 1. Elliptic systems in the plane. 1.1. First-order elliptic systems in the plane. 1.2. Second-order elliptic systems in the plane
- 2. Higher-dimensional linear elliptic systems. 2.1. First-order systems. 2.2. Second-order systems
- 3. Degenerate elliptic problems. 3.2. The Cauchy problem for the inhomogeneous Cauchy-Riemann equation and its higher-order generalization. 3.3. Kernel matrices in R[superscript 3] and R[superscript 4]. 3.4. Cauchy problems for the inhomogeneous equations [actual symbol is not reproducible]. 3.5. First-order elliptic systems degenerate at the boundary. 3.6. The boundary-value problem for a second-order elliptic system degenerate at the boundary. 3.7. Nonelliptic degenerations. 3.8. Elliptic systems in a plane, degenerate on a line. 3.9. Elliptic systems in R[superscript 3] degenerate on a line and on a plane
- 4. Nonstationary systems. 4.1. First-order hyperbolic systems in R[superscript 3] and R[superscript 4]. 4.2. Initial-boundary-value problems for first-order hyperbolic systems. 4.3. Modified initial-boundary-value problem for first-order hyperbolic systems. 4.4. Initial-boundary-value problem for second-order hyperbolic systems. 4.5. Degenerate hyperbolic systems. 4.6. Mixed type first-order systems of equations
- 5. First-order overdetermined systems. 5.2. Elliptic overdetermined systems in R[superscript n+1]. 5.3. Degenerate overdetermined elliptic systems. 5.4. Boundary-value problems. 5.5. Nonelliptic first-order overdetermined systems
- 6. The statement of well-posed problems for degenerate systems of partial differential equations. 6.2. Boundary-value problems for first-order systems. 6.3. Initial-boundary-value problems for first-order systems. 6.4. The boundary-value problem for second-order systems.
