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Elliptic, Hyperbolic and Mixed Complex Equations with Parabolic Degeneracy: Including Tricomi-Bers and Tricomi-Frankl-Rrassias Problems (Peking University Series in Mathematics) [Hardcover]

By Guo Chun Wen (Author)
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Item description for Elliptic, Hyperbolic and Mixed Complex Equations with Parabolic Degeneracy: Including Tricomi-Bers and Tricomi-Frankl-Rrassias Problems (Peking University Series in Mathematics) by Guo Chun Wen...

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.

Contents: Elliptic Complex Equations of First Order; Elliptic Complex Equations of Second Order; Hyperbolic Complex Equations of First and Second Orders; First Order Complex Equations of Mixed Type; Second Order Linear Equations of Mixed Type; Second Order Quasilinear Equations of Mixed Type.



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Item Specifications...


Studio: World Scientific Publishing Company
Pages   456
Est. Packaging Dimensions:   Length: 8.98" Width: 6.14" Height: 1.18"
Weight:   1.72 lbs.
Binding  Hardcover
Release Date   Dec 13, 2007
Publisher   World Scientific Publishing Company
ISBN  9812779426  
ISBN13  9789812779427  


Availability  0 units.


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Product Categories

1Books > Subjects > Professional & Technical > Professional Science > Mathematics > Applied > Differential Equations
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Applied > General
3Books > Subjects > Science > General
4Books > Subjects > Science > Mathematics > Applied > Differential Equations
5Books > Subjects > Science > Mathematics > Applied > General
6Books > Subjects > Science > Mathematics > General
7Books > Subjects > Science > Physics > Dynamics > Aerodynamics



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