| 书目名称 | Plane Waves and Spherical Means | | 副标题 | Applied to Partial D | | 编辑 | Fritz John | | 视频video | | | 图书封面 |  | | 描述 | The author would like to acknowledge his obligation to all his (;Olleagues and friends at the Institute of Mathematical Sciences of New York University for their stimulation and criticism which have contributed to the writing of this tract. The author also wishes to thank Aughtum S. Howard for permission to include results from her unpublished dissertation, Larkin Joyner for drawing the figures, Interscience Publishers for their cooperation and support, and particularly Lipman Bers, who suggested the publication in its present form. New Rochelle FRITZ JOHN September, 1955 [v] CONTENTS Introduction. . . . . . . 1 CHAPTER I Decomposition of an Arbitrary Function into Plane Waves Explanation of notation . . . . . . . . . . . . . . . 7 The spherical mean of a function of a single coordinate. 7 9 Representation of a function by its plane integrals . CHAPTER II Tbe Initial Value Problem for Hyperbolic Homogeneous Equations with Constant Coefficients Hyperbolic equations. . . . . . . . . . . . . . . . . . . . . . 15 Geometry of the normal surface for a strictly hyperbolic equation. 16 Solution of the Cauchy problem for a strictly hyperbolic equation . 20 Expression of the kernel by an int | | 出版日期 | Textbook 1981 | | 关键词 | Partielle Differentialgleichung; Plane; Waves; differential equation; geometry; integral; partial differen | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4613-9453-2 | | isbn_softcover | 978-0-387-90565-5 | | isbn_ebook | 978-1-4613-9453-2 | | copyright | Springer Science+Business Media New York 1981 |
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