Watson

Parabolic Equations on an Infinite Strip

• Gebundenes Buch

Produktbeschreibung

This book focuses on solutions of second order, linear, parabolic, partial differentialequations on an infinite strip-emphasizing their integral representation, their initialvalues in several senses, and the relations between these.Parabolic Equations on an Infinite Strip provides valuable information-previously unavailable in a single volume-on such topics as semigroup property.. . the Cauchy problem ... Gauss-Weierstrass representation . .. initial limits .. .normal limits and related representation theorems ... hyperplane conditions .. .determination of the initial measure .. . and the maximum principle. It also exploresnew, unpublished results on parabolic limits . . . more general limits ... and solutionssatisfying LP conditions.Requiring only a fundamental knowledge of general analysis and measure theory, thisbook serves as an excellent text for graduate students studying partial differentialequations and harmonic analysis, as well as a useful reference for analysts interested inapplied measure theory, and specialists in partial differential equations.

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Produktdetails

• Verlag: CRC Press
• Seitenzahl: 312
• Erscheinungstermin: 27. Januar 1989
• Englisch
• Abmessung: 235mm x 157mm x 23mm
• Gewicht: 661g
• ISBN-13: 9780824779993
• ISBN-10: 0824779991
• Artikelnr.: 22350986

Autorenporträt

Watson\,

Inhaltsangabe

1. Fundamental Solutions 2. Non-negative Solutions 3. The Semigroup
Property, Cauchy Problem, and Gauss-Weierstrass Representation 4. Initial
Limits of Gauss-Weierstrass Integrals 5. Normal Limits and Representation
Theorems 6. Hyperplane Conditions and Representation Theorems 7. The
Initial Measure of a Gauss-Weierstrass Integral 8. Maximum Principles and
Initial Limits