Results 1 to 10 of about 181,693 (317)
Nonlinear Elliptic–Parabolic Problems [PDF]
Archive for Rational Mechanics and Analysis, 2013 43 pages, 6 ...
Inwon Kim, Norbert Pozar
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Noncoercive parabolic obstacle problems
Advances in Nonlinear Analysis, 2023 Abstract We prove an existence result for obstacle problems related to convection-diffusion parabolic equations with singular coefficients in the convective term. Our operator is not coercive, the obstacle function is time-dependent irregular, and the coefficients in the lower-order term belong to a borderline mixed Lebesgue ...
Farroni F. +3 more
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Parabolic power concavity and parabolic boundary value problems [PDF]
Mathematische Annalen, 2013 This paper is concerned with power concavity properties of the solution to the parabolic boundary value problem \begin{equation} \tag{$P$} \left\{\begin{array}{ll} \partial_t u= u +f(x,t,u,\nabla u) & \mbox{in}\quad \times(0,\infty),\vspace{3pt}\\ u(x,t)=0 & \mbox{on}\quad\partial \times(0,\infty),\vspace{3pt}\\ u(x,0)=0 & \mbox{in ...
SALANI, PAOLO, Kazuhiro Ishige
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Free boundary problems for parabolic equations [PDF]
Bulletin of the American Mathematical Society, 1970 Avner Friedman
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Interpolation operators for parabolic problems
Numerische Mathematik, 2023 AbstractWe introduce interpolation operators with approximation and stability properties suited for parabolic problems in primal and mixed formulations. We derive localized error estimates for tensor product meshes (occurring in classical time-marching schemes) as well as locally in space-time refined meshes.
Stevenson, Rob, Storn, Johannes
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Convexification for an inverse parabolic problem [PDF]
Inverse Problems, 2020 A convexification-based numerical method for a Coefficient Inverse Problem for a parabolic PDE is presented. The key element of this method is the presence of the so-called Carleman Weight Function in the numerical scheme. Convergence analysis ensures the global convergence of this method, as opposed to the local convergence of the conventional least ...
Michael V Klibanov +2 more
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On a Parabolic Symmetry Problem [PDF]
Revista Matemática Iberoamericana, 2007 In this paper we prove a symmetry theorem for the Green function associated to the heat equation in a certain class of bounded domains \Omega\subset\mathbb{R}^{n+1} . For T>0 , let \Omega_T=\Omega\cap ...
Lewis, John L., Nyström, Kaj
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On a nonlocal degenerate parabolic problem [PDF]
Nonlinear Analysis: Real World Applications, 2016 Conditions for the existence and uniqueness of weak solutions for a class of nonlinear nonlocal degenerate parabolic equations are established. The asymptotic behaviour of the solutions as time tends to infinity are also studied. In particular, the finite time extinction and polynomial decay properties are proved.
Almeida, Rui M.P. +2 more
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On the parabolic equation for portfolio problems [PDF]
Banach Center Publications, 2020 (v2) - a few minor typos and omissions corrected, (13 pages). Forthcoming in Banach Center Publications - Conference on stochastic modeling in finance and insurance, B\k{e}dlewo 11.02.2019--15.02.2019, X Simons ...
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Flux form Semi-Lagrangian methods for parabolic problems [PDF]
, 2015 A semi-Lagrangian method for parabolic problems is proposed, that extends previous work by the authors to achieve a fully conservative, flux-form discretization of linear and nonlinear diffusion equations. A basic consistency and convergence analysis are
Bonaventura, Luca, Ferretti, Roberto
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