Results 31 to 40 of about 599 (137)

Solvability of Degenerating Hyperbolic Differential Equations with Unbounded Operator Coefficients [PDF]

Differential Equations, 2021
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Mixed problems for degenerate hyperbolic equations

Kyoto Journal of Mathematics, 1983
The author defines boundary conditions satisfying uniform Lopatinski conditions for a degenerate hyperbolic mixed problem to be an \(H^{\infty}\)-well posed mixed problem. The method is based on energy inequalities for such mixed problems, which are analogous to those in the non-degenerate case, except for having some degenerate orders. Main difference
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ON INITIAL BOUNDARY VALUE PROBLEMS FOR THE DEGENERATE 1D WAVE EQUATION

Journal of Optimization, Differential Equations and Their Applications, 2019
Initial boundary value problems in space-time rectangle for the following linear inhomogeneous degenerate wave equation of the second order smooth coefficient function a(x) vanishes in single points of segment.
Vladimir V. Borsch
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An energy analysis of degenerate hyperbolic partial differential equations. [PDF]

Applications of Mathematics, 1984
From author's summary: An energy analysis is carried out for the usual semi-discrete Galerkin method for the semilinear equation in the region \(\Omega\) : \((tu_ t)_ t=\sum_{i,j=1}(a_{ij}(x)u_{x_ i})x_ i- a_ 0(x)u+f(u),\) subject to the initial and boundary conditions, \(u=0\) on \(\partial \Omega\) and \(u(x,0)=u_ 0\).
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Initial-boundary value problems for degenerate hyperbolic equations

Sibirskie Elektronnye Matematicheskie Izvestiya, 2021
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Mixed Problems for Singular and Degenerate Hyperbolic Equations

Publications of the Research Institute for Mathematical Sciences, 1987
The author considers a mixed problem for a degenerate hyperbolic equation with principal symbol \(\prod^ m_{j=1}(\tau-t^ k\Lambda_ j(t,x,y;\xi,\eta))\), where \(k\) is a real number, \(k>0\), the variables \((\xi,\eta)\) are dual to \((x,y)\), and the \(\Lambda^ j(t,x,y;\xi,\eta)\) are real and distinct. For this problem the author proves existence and
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Oblique derivative problems for second-order hyperbolic equations with degenerate curve

Electronic Journal of Differential Equations, 2011
The present article concerns the oblique derivative problem for second order hyperbolic equations with degenerate circle arc. Firstly the formulation of the oblique derivative problem for the equations is given, next the representation and estimates ...
Guo-Chun Wen
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On Local Solutions of a Mildly Degenerate Hyperbolic Equation

Journal of Mathematical Analysis and Applications, 1999
In this paper existence and uniqueness of local solutions for the initial boundary problem associated to a second order hyperbolic equation are established. More precisely, the following problem is considered: \[ \begin{gathered} u_{tt}-M\left(\int_\Omega|Du|^2dx\right)a(x)\Delta u=0\qquad \text{in }\Omega\times\mathbb R_+,\\ u(x,t)\bigl|_{\partial ...
Aassila, Mohammed, Kaya, Dogan
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Oblique derivative problems for generalized Rassias equations of mixed type with several characteristic boundaries

Electronic Journal of Differential Equations, 2009
This article concerns the oblique derivative problems for second-order quasilinear degenerate equations of mixed type with several characteristic boundaries, which include the Tricomi problem as a special case.
Guo Chun Wen
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Mixed problem for a third order parabolic-hyperbolic model equation

Қарағанды университетінің хабаршысы. Математика сериясы
In 1978, the journal Differential Equations published an article by A.M. Nakhushev, that presented a method for correctly formulating a boundary value problem for a class of second-order parabolic-hyperbolic equations in an arbitrarily bounded domain ...
Zh.A. Balkizov
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