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Partial Differential Equations III: The Cauchy Problem. Qualitative Theory of Partial Differential Equations by Semen G. Gindikin, Youri Egorov, M. Grinfeld - Paperback
584.67 AED

Partial Differential Equations III: The Cauchy Problem. Qualitative Theory of Partial Differential Equations by Semen G. Gindikin, Youri Egorov, M. Grinfeld - Paperback

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Category Type
Mathematics
ISBN
9783642634901
Author
Semen G. Gindikin, Youri Egorov, M. Grinfeld
Publisher
Springer
Description:

, h In the XIX century, mathematical physics continued to be the main source of new partial differential equations and ofproblems involving them. The study ofLaplace's equation and ofthe wave equation had assumed a more systematic nature. In the beginning of the century, Fourier added the heat equation to the aforementioned two. Marvellous progress in obtaining precise solution repre ...

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    Specifications

    Category Type
    Mathematics
    ISBN
    9783642634901
    Languages
    English
    Item EAN
    2724437266973
    People
    Author
    Semen G. Gindikin, Youri Egorov, M. Grinfeld
    Category Type
    Mathematics
    ISBN
    9783642634901
    Languages
    English
    Item EAN
    2724437266973
    People
    Author
    Semen G. Gindikin, Youri Egorov, M. Grinfeld
    People
    Publisher
    Springer
    Technical Information
    Binding
    Paperback
    Languages and countries
    Book Language
    English
    Read more
  •  

    Description:

    , h In the XIX century, mathematical physics continued to be the main source of new partial differential equations and ofproblems involving them. The study ofLaplace's equation and ofthe wave equation had assumed a more systematic nature. In the beginning of the century, Fourier added the heat

    , h In the XIX century, mathematical physics continued to be the main source of new partial differential equations and ofproblems involving them. The study ofLaplace's equation and ofthe wave equation had assumed a more systematic nature. In the beginning of the century, Fourier added the heat equation to the aforementioned two. Marvellous progress in obtaining precise solution repre sentation formulas is connected with Poisson, who obtained formulas for the solution of the Dirichlet problem in a disc, for the solution of the Cauchy problems for the heat equation, and for the three-dimensional wave equation. The physical setting ofthe problem led to the gradual replacement ofthe search for a general solution by the study of boundary value problems, which arose naturallyfrom the physics ofthe problem. Among these, theCauchy problem was of utmost importance. Only in the context of first order equations, the original quest for general integralsjustified itself. Here again the first steps are connected with the names of D'Alembert and Euler; the theory was being intensively 1h developed all through the XIX century, and was brought to an astounding completeness through the efforts ofHamilton, Jacobi, Frobenius, and E. Cartan. In terms of concrete equations, the studies in general rarely concerned equa tions of higher than second order, and at most in three variables. Classification 'h ofsecond orderequations was undertaken in the second halfofthe XIX century (by Du Bois-Raymond). An increase in the number of variables was not sanc tioned by applications, and led to the little understood ultra-hyperbolic case.

    Product Features:
    • Category: Mathematics
    • Binding: Paperback
    • Language of Text: English
    • Author(s): Semen G. Gindikin, Youri Egorov, M. Grinfeld
    • Publisher: Springer
    • ISBN: 9783642634901
    • Number of Pages: 197
    • Dimensions: 9.21 x 6.14 x 0.45 inches
 

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