Maximum Principles in Differential Equations

Häftad, Engelska, 2011

Av Murray H. Protter, Hans F. Weinberger

1 709 kr

Beställningsvara. Skickas inom 7-10 vardagar

Fri frakt för medlemmar vid köp för minst 249 kr.

Finns i fler format (1)

Inbunden

2 399 kr

Skickas inom 7-10 vardagar

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

Utgivningsdatum2011-09-30
Mått155 x 235 x 16 mm
Vikt423 g
SpråkEngelska
Antal sidor261
FörlagSpringer-Verlag New York Inc.
EAN9781461297697

Du kanske också är intresserad av

Tillhör följande kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

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.

Maximum Principles in Differential Equations

Finns i fler format (1)

Produktinformation

Mer från samma författare

Intermediate Calculus

First Course in Real Analysis

Basic Elements of Real Analysis

First Course in Real Analysis

Intermediate Calculus

Basic Elements of Real Analysis

Du kanske också är intresserad av

Maximum Principles in Differential Equations

Alchemised (svensk utgåva)

Variational Methods for Eigenvalue Approximation

A First Course in Partial Differential Equations with Complex Variables and Transform Methods

First Course in Real Analysis

Basic Elements of Real Analysis

Basic Elements of Real Analysis

First Course in Real Analysis

Intermediate Calculus

Intermediate Calculus

Tillhör följande kategorier

Innehållsförteckning

Akademibokhandeln

Akademibokhandeln

Hjälp

Hjälp

Tjänster

Tjänster

Erbjudanden

Erbjudanden

Inspiration

Inspiration