عنوان

Hyperbolic partial differential equations and wave phenomena /

شابک

0821810219 (alk. paper)

شابک

9780821810217 (alk. paper)

شماره

dltt

عنوان اصلي

Hyperbolic partial differential equations and wave phenomena /

نام عام مواد

[Book]

نام نخستين پديدآور

Mitsuru Ikawa ; translated by Bohdan I. Kurpita.

محل نشرو پخش و غیره

Providence, RI :

نام ناشر، پخش کننده و غيره

American Mathematical Society,

تاریخ نشرو بخش و غیره

c2000.

نام خاص و کميت اثر

xxi, 190 p. ;

ابعاد

22 cm.

عنوان فروست

Iwanami series in modern mathematics

عنوان فروست

Translations of mathematical monographs ;

مشخصه جلد

v. 189

متن يادداشت

Includes bibliographical references (p. 179-180) and index.

متن يادداشت

Wave Phenomena and Hyperbolic Equations -- Equations of wave phenomena -- The vibration of a string -- The equation of oscillation of a spring -- The equation for the propagation of sound -- Maxwell's equations, elastic equations -- Hyperbolic partial differential operators -- Hyperbolic differential operators -- Problems that we will consider -- Formulae for solutions of an initial value problem for a wave equation -- The Existence of a Solution for a Hyperbolic Equation and its Properties -- Finite propagation speed, domains of dependence and influence -- Energy estimate of the solution -- The domain of dependence -- The domain of influence -- Finite speed of propagation -- An a priori estimate of the solution -- On the premise of results for elliptic equations -- Energy estimate -- An estimate of partial derivatives of higher order -- Elimination of the extra assumption, approximation due a mollifier -- Energy conservation -- Existence of the solution -- The Hille-Yosida theorem -- The operator A -- The existence of a solution for the initial boundary value problem -- Smoothness of the solution -- The Construction of Asymptotic Solutions -- An asymptotic solution of the hyperbolic equation -- The Eikonal equation -- Canonical equations -- The construction of the solution -- The transport equation and the behaviour of the asymptotic solution -- The transport equation -- The behaviour of the asymptotic solution -- The propagation of sound in air in which the temperature is not constant -- The propagation of singularities.

بدون عنوان

0

عنوان قراردادي

Henbibun hōteishiki 2.

زبان(وقتي جزئي از عنوان قراردادي باشد)

English

موضوع مستند نشده

Boundary value problems.

موضوع مستند نشده

Differential equations, Hyperbolic.

موضوع مستند نشده

Wave equation.

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Ikawa, Mitsuru,1942-

تاريخ عمليات

20140220043451.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y