Large time behavior for some nonlinear degenerate parabolic equations [PDF]
, 2013 We study the asymptotic behavior of Lipschitz continuous solutions of nonlinear degenerate parabolic equations in the periodic setting. Our results apply to a large class of Hamilton-Jacobi-Bellman equations.
Ley, Olivier, Nguyen, Vinh Duc
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Null controllability of degenerate parabolic equation with memory [PDF]
Mathematical Methods in the Applied Sciences, 2021 In this paper, we analyze the null controllability property for a degenerate parabolic equation involving memory terms with a locally distributed control. We first derive a null controllability result for a nonhomogeneous degenerate heat equation via new Carleman estimates with weighted time functions that do not blow up at .
Allal, Brahim, Fragnelli, Genni
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Identification problems for degenerate parabolic equations [PDF]
Applications of Mathematics, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Awawdeh, Fadi, Obiedat, Hamed M.
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On the local integrability and boundedness of solutions to quasilinear parabolic systems
Electronic Journal of Qualitative Theory of Differential Equations, 2004 We introduce a structure condition of parabolic type, which allows for the generalization to quasilinear parabolic systems of the known results of integrability, and boundedness of local solutions to singular and degenerate quasilinear parabolic ...
T. Giorgi, M. O'Leary
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Wellposedness of a nonlocal nonlinear diffusion equation of image processing [PDF]
, 2016 Existence and uniqueness are established for a degenerate regularization of the well-known Perona-Malik equation proposed by the first author for non-smooth initial data.
Guidotti, Patrick, Shao, Yuanzhen
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Convergence for Degenerate Parabolic Equations
Journal of Differential Equations, 1999 The authors consider degenerate parabolic problems of the form \[ \begin{aligned} u_t-\varphi \bigl(u(x,t) \bigr)_{xx}= f\bigl(u(x,t) \bigr),\quad & x\in (-L,L),\;t>0,\\ u(-L,t)= u(L,t)=0, \quad & t>0,\\ u(x,0)= u_0(t)\geq 0,\quad & x\in (-L,L), \end{aligned} \] where \(\varphi\) and \(f\) are sufficiently regular functions satisfying \(\varphi(0)=0\),
Feireisl, Eduard, Simondon, Frédérique
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Discontinuous “viscosity” solutions of a degenerate parabolic equation [PDF]
Transactions of the American Mathematical Society, 1990 We study a nonlinear degenerate parabolic equation of the second order. Regularizing the equation by adding some artificial viscosity, we construct a generalized solution. We show that this solution is not necessarily continuous at all points.
BERTSCH, MICHIEL, Dal Passo R, Ughi, M.
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Convergence of Inverse Volatility Problem Based on Degenerate Parabolic Equation
Mathematics, 2022 Based on the theoretical framework of the Black–Scholes model, the convergence of the inverse volatility problem based on the degenerate parabolic equation is studied.
Yilihamujiang Yimamu, Zuicha Deng
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Carleman inequality for a class of super strong degenerate parabolic operators and applications
Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this paper, we present a new Carleman estimate for the adjoint equations associated to a class of super strong degenerate parabolic linear problems. Our approach considers a standard geometric imposition on the control domain, which can not be removed
Bruno Sérgio Araújo +2 more
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Interior degenerate/singular parabolic equations in nondivergence form: well-posedness and Carleman estimates [PDF]
, 2015 We consider non smooth general degenerate/singular parabolic equations in non divergence form with degeneracy and singularity occurring in the interior of the spatial domain, in presence of Dirichlet or Neumann boundary conditions.
Alabau-Boussouira +30 more
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