Maximum Principles in Differential Equations

AvMurray H. Protter,Hans F. Weinberger

Inbunden, Engelska, 1984

1 874 kr

Beställningsvara. Skickas inom 10-15 vardagar. Fri frakt över 249 kr.

Fler format och utgåvor

Häftad

1 324 kr

Beskrivning

Maximum Principles are central to the theory and applications of second-order partial differential equations and systems. This self-contained text establishes the fundamental principles and provides a variety of applications.

Produktinformation

Utgivningsdatum:1984-10-22
Mått:156 x 234 x 20 mm
Vikt:582 g
Format:Inbunden
Språk:Engelska
Antal sidor:261
Upplaga:84001
Förlag:Springer-Verlag New York Inc.
ISBN:9780387960685

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Innehållsförteckning

1. The One-Dimensional Maximum Principle.- 1. The maximum principle.- 2. The generalized maximum principle.- 3. The initial value problem.- 4. Boundary value problems.- 5. Approximation in boundary value problems.- 6. Approximation in the initial value problem.- 7. The eigenvalue problem.- 8. Oscillation and comparison theorems.- 9. Nonlinear operators.- Bibliographical notes.- 2. Elliptic Equations.- 1. The Laplace operator.- 2. Second-order elliptic operators. Transformations.- 3. The maximum principle of E. Hopf.- 4. Uniqueness theorems for boundary value problems.- 5. The generalized maximum principle.- 6. Approximation in boundary value problems.- 7. Green’s identities and Green’s function.- 8. Eigenvalues.- 9. The Phragmèn-Lindelöf principle.- 10. The Harnack inequalities.- 11. Capacity.- 12. The Hadamard three-circles theorem.- 13. Derivatives of harmonic functions.- 14. Boundary estimates for the derivatives.- 15. Applications of bounds for derivatives.- 16. Nonlinear operators.- Bibliographical notes.- 3. Parabolic Equations.- 1. The heat equation.- 2. The one-dimensional parabolic operator.- 3. The general parabolic operator.- 4. Uniqueness theorems for boundary value problems.- 5. A three-curves theorem.- 6. The Phragmèn-Lindelöf principle.- 7. Nonlinear operators.- 8. Weakly coupled parabolic systems.- Bibliographical notes.- 4. Hyperbolic Equations.- 1. The wave equation.- 2. The wave operator with lower order terms.- 3. The two-dimensional hyperbolic operator.- 4. Bounds and uniqueness in the initial value problem.- 5. Riemann’s function.- 6. Initial-boundary value problems.- 7. Estimates for series solutions.- 8. The two-characteristic problem.- 9. The Goursat problem.- 10. Comparison theorems.- 11. The wave equation in higher dimensions.- Bibliographical notes.

Mer från samma författare

Basic Elements of Real Analysis

Murray H. Protter

E-bok

2006

718 kr

Intermediate Calculus

Murray H. Protter, Charles B. Jr. Morrey

Inbunden, 1984

665 kr

First Course in Real Analysis

Murray H. Protter, Charles B. Jr. Morrey

Inbunden, 1991

611 kr

Basic Elements of Real Analysis

Murray H. Protter

Inbunden, 1998

556 kr

First Course in Real Analysis

Charles B. Jr. Morrey, Murray H. Protter

E-bok

2012

797 kr

Intermediate Calculus

Charles B. Jr. Morrey, Murray H. Protter

E-bok

2012

861 kr