Elliptic, Hyperbolic and Mixed Complex Equations With Parabolic Degeneracy: Including Tricomi-Bers and Tricomi-Frankl-Rassias Problems - Couverture rigide

Wen, Guo Chun

Couverture rigide

ISBN 10 : 9812779426 ISBN 13 : 9789812779427

Editeur : World Scientific Publishing Co Pte Ltd, 2007

Synopsis

In the recent half-century, many mathematicians have investigated various problems on several equations of mixed type and obtained interesting results, with important applications to gas dynamics. However, the Tricomi problem of general mixed type equations of second order with parabolic degeneracy has not been completely solved, particularly the Tricomi and Frankl problems for general Chaplygin equation in multiply connected domains posed by L Bers, and the existence, regularity of solutions of the above problems for mixed equations with non-smooth degenerate curve in several domains posed by J M Rassias.The method revealed in this book is unlike any other, in which the hyperbolic number and hyperbolic complex function in hyperbolic domains, and the complex number and complex function in elliptic domains are used. The corresponding problems for first order complex equations with singular coefficients are first discussed, and then the problems for second order complex equations are considered, where we pose the new partial derivative notations and complex analytic methods such that the forms of the above first order complex equations in hyperbolic and elliptic domains are wholly identical. In the meantime, the estimates of solutions for the above problems are obtained, hence many open problems including the above Tricomi- Bers and Tricomi-Frankl-Rassias problems can be solved.

Détails de l'édition

• Éditeur: World Scientific Publishing Co Pte Ltd
• Date d'édition: 2007
• Langue: anglais
• ISBN 10: 9812779426
• ISBN 13: 9789812779427
• Reliure: Relié
• Nombre de pages: 456
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible