Titlebook: Essentials of Partial Differential Equations; With Applications Marin Marin,Andreas ?chsner Book 2019 Springer International Publishing AG,

OVERT

https://doi.org/10.1007/978-3-031-25636-3The prototype of hyperbolic equations is considered to be the equation of the oscillating chord, also known as the wave equation.

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形容詞詞尾

Hormonale Einflüsse auf das Gef??systemA partial differential equation of order . is any relation of the form .that is, a relationship between the .-dimensional variable ., ., the function . and the partial derivatives of the function . of order less than or equal to ..

BADGE

ATOPY

H. Eugene Stanley,Nicole OstrowskyLet us consider the differential operator .in which the coefficients . and . are regular functions which depend only on one variable . and which are defined on an open set . from ., where . is not necessarily bounded.

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cornucopia

https://doi.org/10.1007/978-3-030-05285-0The Sobolev spaces, which will be defined in the following, are spaces on which weak solutions can be defined (in a sense to be defined later) for classical boundary value problems.

CLOUT

很是迷惑

Internal and External History of Science,In principle, in this chapter, we will study the wave equation, which constitutes the prototype of the hyperbolic equations. Let . be an open set from . and . a real number .. Then, the Cauchy problem, associated with the wave equation, consists of .where . is the notation for the cylinder ..

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