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Semilinear parabolic problems in thin domains with a highly oscillatory boundary
(Pergamon-Elsevier B.V. Ltd, 2011-10-01)
In this paper, we study the behavior of the solutions of nonlinear parabolic problems posed in a domain that degenerates into a line segment (thin domain) which has an oscillating boundary. We combine methods from linear ...
Space-Time Least-Squares Finite Element Methods for Parabolic Distributed Optimal Control Problems
(WALTER DE GRUYTER GMBH, 2024)
We present a method for the numerical approximation of distributed optimal control problems constrained by parabolic partial differential equations. We complement the first-order optimality condition by a recently developed ...
Bound states of the hydrogen atom in parabolic coordinatesBound states of the hydrogen atom in parabolic coordinates
(Revista Mexicana de Física, 2009)
Sharp regularity estimates for second order fully nonlinear parabolic equations
(Springer, 2017-12)
We prove sharp regularity estimates for viscosity solutions of fully nonlinear parabolic equations of the form (Formula Presented.)where F is elliptic with respect to the Hessian argument and f∈ Lp , q(Q1). The quantity ...
Existence and asymptotic behavior for a singular parabolic equation
(Amer Mathematical SocProvidenceEUA, 2005)