Initial boundary value problems of fourth order hyperbolic equations
نویسندگان
چکیده
منابع مشابه
Initial Boundary Value Problems for Hyperbolic Partial Differential Equations
1, Differential equations in one space dimension. The simplest hyperbolic differential equation is given by (1.1) du/dt = cdu/dx, where c is a constant, Its general solution is u(x, t) — F(x + ci), i.e., it is constant along the "characteristic lines" x + ct = const (see Figure 1). Therefore, if we u(l,t) = g(t) u(0,t)*g(t want to determine the solution of (1.1) in the region 0 ^ x ^ 1, t ja 0,...
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Initial-Boundary Value Problem for Hyperbolic Equations
where Ji = 0 for x0 < 0. The problem is to find necessary and sufficient conditions on B(x, B) such that the initial-boundary value problem (1), (2), (3) is well-posed. Note that all theorems that a;re formulated below will also apply to the case when (1) is a general hyperbolic equation or a hyperbolic system of equations of arbitrary order provided that all components of the characteristic co...
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ژورنال
عنوان ژورنال: Kyoto Journal of Mathematics
سال: 1979
ISSN: 2156-2261
DOI: 10.1215/kjm/1250522377