Results 11 to 20 of about 1,208 (288)
Nonlinear anisotropic degenerate parabolic-hyperbolic equations with stochastic forcing [PDF]
Journal of Functional Analysis, 2021 47 ...
Chen, G-QG, Pang, PHC
openaire +4 more sources
Identification for General Degenerate Problems of Hyperbolic Type
Bruno Pini Mathematical Analysis Seminar, 2016 A degenerate identification problem in Hilbert space is described, improving a previous paper [2]. An application to second order evolution equations of hyperbolic type is given.
Angelo Favini, Gabriela Marinoschi
doaj +3 more sources
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
doaj +3 more sources
Recovering Degenerate Kernels in Hyperbolic Integro-Differential Equations
Zeitschrift für Analysis und ihre Anwendungen, 2002 The problem of recovering a degenerate operator kernel in a hyperbolic integro-differential operator equation is studied. Existence, uniqueness and stability for the solution are proved. A conditional convergence of a sequence of solutions corresponding to degenerate kernels to a solution corresponding to a non-degenerate kernel is shown.
Janno, Jaan, Lorenzi, Alfredo
openaire +3 more sources
Nonlocal degenerate parabolic-hyperbolic equations on bounded domains
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2023 We study well-posedness of degenerate mixed-type parabolic-hyperbolic equations \partial_{t}u+\operatorname{div}(f(u))=\mathcal{L}[b(u)] on bounded domains with general Dirichlet boundary/exterior conditions. The nonlocal diffusion operator
Nathaël Alibaud +3 more
core +4 more sources
Nonlocal problems for hyperbolic equations with degenerate integral conditions
Electronic Journal of Differential Equations, 2016 In this article, we consider a problem for hyperbolic equation with standard initial data and nonlocal condition. A distinct feature of this problem is that the nonlocal second kind integral condition degenerates and turns into a first kind.
Ludmila S. Pulkina
doaj +1 more source
On the Cauchy problem of degenerate hyperbolic equations [PDF]
Transactions of the American Mathematical Society, 2005 The paper refers to the existence of smooth solutions for the Cauchy problem for a \(n\)-dimensional degenerate hyperbolic equation. The degeneracy occurs since the function \(K(x,t)\) multiplying the linear combination of second order spatial derivatives is allowed to vanish.
Han, Q., Hong, J. X., Lin, C. S.
openaire +1 more source
Global Weak Solution, Uniqueness and Exponential Decay for a Class of Degenerate Hyperbolic Equation
Communications in Advanced Mathematical Sciences, 2022 This paper deals with existence, uniqueness and energy decay of solutions to a degenerate hyperbolic equations given by \begin{align*} K(x,t)u'' - M\left(\int_\Omega |\nabla u|^2\,dx \right) \Delta u - \Delta u' = 0, \end{align*} with operator ...
Carlos Raposo, Ducival Pereira
doaj +1 more source
Identification for Degenerate Differential Problems of Hyperbolic Type
Bruno Pini Mathematical Analysis Seminar, 2017 A degenerate identification problem in Hilbert space is considered. An application to second order evolution equations of hyperbolic type is also provided. The abstract results are applied to concrete differential problems.
Angelo Favini
doaj +1 more source
The Dirichlet Problem for Stochastic Degenerate Parabolic-Hyperbolic Equations
Communications in Mathematical Analysis and Applications, 2022 Summary: We consider the Dirichlet problem for a quasilinear degenerate parabolic stochastic partial differential equation with multiplicative noise and nonhomogeneous Dirichlet boundary condition. We introduce the definition of kinetic solution for this problem and prove existence and uniqueness of solutions. For the uniqueness of kinetic solutions we
Frid, Hermano +4 more
openaire +2 more sources