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Titlebook: Equations in Mathematical Physics; A practical course Victor P. Pikulin,Stanislav I. Pohozaev Book 2001 Springer Basel AG 2001 Partial diff

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書目名稱Equations in Mathematical Physics
副標題A practical course
編輯Victor P. Pikulin,Stanislav I. Pohozaev
視頻videohttp://file.papertrans.cn/314/313448/313448.mp4
圖書封面Titlebook: Equations in Mathematical Physics; A practical course Victor P. Pikulin,Stanislav I. Pohozaev Book 2001 Springer Basel AG 2001 Partial diff
描述This handbook is addressed to students of technology institutf‘s where a course on mathematical physics of relatively reduced volume is offered, as well as to engineers and scientists. The aim of the handbook is to treat (demonstrate) the basic methods for solving the simplest problems of classical mathematical physics. The most basic among the methods considered hrre i8 the superposition method. It allows one, based on particular linearly indepmdent HolutionH (solution "atoms"), to obtain the solution of a given problem. To that end the "Hupply" of solution atoms must be complete. This method is a development of the well-known method of particular solutions from the theory of ordinar~‘ differelltial equations. In contrast to the case of ordinary differential equations, where the number of linearly independent 80lutions is always finite, for a linear partial differrntial equation a complete "supply" of solution atoms is always infinite. This infinite set of Holutions may be discrete (for example, for regular boundary vahlP problems in a bounded domain), or form a continuum (for example, in the case of problems in the whole space). In the first case the superposition method reduces
出版日期Book 2001
關(guān)鍵詞Partial differential equations; eliptic; hyperbolic; parabolic; Boundary value problem; Cauchy problem; di
版次1
doihttps://doi.org/10.1007/978-3-0348-8285-9
isbn_softcover978-3-0348-9503-3
isbn_ebook978-3-0348-8285-9
copyrightSpringer Basel AG 2001
The information of publication is updating

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https://doi.org/10.1007/978-3-642-18502-1nother class of partial differential equations - the hyperbolic equations. We begin with the one-dimensional wave equation .. = a... which describes, among other processes, the transversal oscillations of a string.
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Weitere Sicherheitssysteme von NetWare, of parabolic type are often encountered in the study of heat conduction and diffusion processes. The simplest equation of parabolic type,. (where .. = const) is usually called the .; here .(.,.) is the temperature in the point with abscissa . at time ..
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Weitere Sicherheitssysteme von NetWare, of parabolic type are often encountered in the study of heat conduction and diffusion processes. The simplest equation of parabolic type,. (where .. = const) is usually called the .; here .(.,.) is the temperature in the point with abscissa . at time ..
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Parabolic problems, of parabolic type are often encountered in the study of heat conduction and diffusion processes. The simplest equation of parabolic type,. (where .. = const) is usually called the .; here .(.,.) is the temperature in the point with abscissa . at time ..
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