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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
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Degenerate hyperbolic equations with lower degree degeneracy [PDF]
Proceedings of the American Mathematical Society, 2014 Summary: We prove that the Cauchy problem of degenerate hyperbolic equations is well-posed if leading coefficients are degenerate at a low degree.
Han, Qing, Liu, Yannan
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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
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Stochastic non-isotropic degenerate parabolic–hyperbolic equations
Stochastic Processes and their Applications, 2017 35 ...
Benjamin Gess, Panagiotis E. Souganidis
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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
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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
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Uniqueness of Entropy Solutions of Nonlinear Elliptic-Parabolic-Hyperbolic Problems in One Dimension Space [PDF]
, 2009 We consider a class of elliptic-parabolic-hyperbolic degenerate equations of the form b(u)t — a(u, φ(ux)x= f with homogeneous Dirichlet conditions and initial conditions.
Ouaro, Stanislas
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Nonlinear electrodynamics as a symmetric hyperbolic system [PDF]
, 2015 Nonlinear theories generalizing Maxwell's electromagnetism and arising from a Lagrangian formalism have dispersion relations in which propagation planes factor into null planes corresponding to two effective metrics which depend on the point-wise values ...
Abalos, Fernando +3 more
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Delta-problems for the generalized Euler-Darboux equation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017 Degenerate hyperbolic equations are dealing with many important issues for applied nature. While a variety of degenerate equations and boundary conditions, successfully matched to these differential equation, most in the characteristic coordinates ...
Irina N Rodionova +2 more
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Boundary Value Problems, 2022 In this paper, in a cylindrical domain D = Ω × ( 0 , T ) $D=\Omega \times (0,T)$ with Ω ⊂ R n $\Omega \subset {R}^{n}$ , we consider a mixed Cauchy problem with a potential lateral boundary condition for the following noncharacteristic degenerated ...
Nurbek Kakharman, Tynysbek Kal’menov
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