Title The characteristic method and its generalizations for first-order nonlinear partial differential equations / Tran Duc Van, Mikio Tsuji, Nguyen Duy Thai Son

Published Boca Raton ; London : CRC Press, 1999

Copies

Location	Call no.	Vol.	Availability
W'PONDS	515.353 Tra/Cma		AVAILABLE

Description 237 pages : illustrations ; 24 cm Series Chapman & Hall/CRC monographs and surveys in pure and applied mathematics ; 101 Chapman & Hall/CRC monographs and surveys in pure and applied mathematics ; 101 Contents Ch. 1. Local Theory on Partial Differential Equations of First-Order -- Ch. 2. Life Spans of Classical Solutions of Partial Differential Equations of First-Order -- Ch. 3. Behavior of Characteristic Curves and Prolongation of Classical Solutions -- Ch. 4. Equations of Hamilton-Jacobi Type in One Space Dimension -- Ch. 5. Quasi-linear Partial Differential Equations of First-Order -- Ch. 6. Construction of Singularities for Hamilton-Jacobi Equations in Two Space Dimensions -- Ch. 7. Equations of the Conservation Law without Convexity Condition in One Space Dimension -- Ch. 8. Differential Inequalities of Haar Type -- Ch. 9. Hopf's Formulas for Global Solutions of Hamilton-Jacobi Equations -- Ch. 10. Hopf-Type Formulas for Global Solutions in the case of Concave-Convex Hamiltonians -- Ch. 11. Global Semiclassical Solutions of First-Order Partial Differential Equations -- Ch. 12. Minimax Solutions of Partial Differential Equations with Time-measurable Hamiltonians Ch. 13. Mishmash -- App. I. Global Existence of Characteristic Curves -- App. II. Convex Functions, Multifunctions, and Differential Inclusions Bibliography Includes bibliographical references and index Subject Differential equations, Nonlinear -- Numerical solutions. Author Nguyen, Duy Thai Son. Tsuji, Mikio. LC no. 99027321 ISBN 1584880163

  Permalink