Results 11 to 20 of about 1,470 (219)

An Optimal Control Problem in Coefficients for a Strongly Degenerate Parabolic Equation with Interior Degeneracy [PDF]

Journal of Optimization Theory and Applications, 2017
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Gabriela Marinoschi, Rosa Maria Mininni
exaly   +3 more sources

Generalized Wentzell boundary conditions for second order operators with interior degeneracy

Discrete and Continuous Dynamical Systems - Series S, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Genni Fragnelli, Gisèle Ruiz Goldstein, Rosa Maria Mininni   +2 more
exaly   +5 more sources

Singular parabolic equations with interior degeneracy and non smooth coefficients: The Neumann case

Discrete and Continuous Dynamical Systems - Series S, 2020
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Genni Fragnelli, Dimitri Mugnai
exaly   +6 more sources

Hierarchical control for the semilinear parabolic equations with interior degeneracy

Journal of Mathematical Analysis and Applications
This paper concerns with the hierarchical control of the semilinear parabolic equations with interior degeneracy. By a Stackelberg-Nash strategy, we consider the linear and semilinear system with one leader and two followers. First, for any given leader, we analyze a Nash equilibrium corresponding to a bi-objective optimal control problem.
Gao, Hang, Yang, Wei, Zhang, Muming
exaly   +4 more sources

Generators with interior degeneracy on spaces of L^2 type

Electronic Journal of Differential Equations, 2012
We consider operators in divergence and in nondivergence form with degeneracy at the interior of the space domain. Characterizing the domain of the operators, we prove that they generate positive analytic semigroups on spaces of L^2 type.
Genni Fragnelli, Gisele Ruiz Goldstein, Jerome A. Goldstein, Silvia Romanelli   +3 more
doaj   +2 more sources

Lipschitz stability for linear parabolic systems with interior degeneracy

Electronic Journal of Differential Equations, 2014
In this article, we study an inverse problem for linear degenerate parabolic systems with one force. We establish Lipschitz stability for the source term from measurements of one component of the solution at a positive time and on a subset of the ...
Idriss Boutaayamou, Genni Fragnelli, Lahcen Maniar   +2 more
doaj   +2 more sources

Null controllability for linear parabolic cascade systems with interior degeneracy

Electronic Journal of Differential Equations, 2016
We study the null controllability problem for linear degenerate parabolic systems with one control force through Carleman estimates for the associated adjoint problem.
Idriss Boutaayamou, Jawad Salhi
doaj   +2 more sources

Can a Finite Degenerate ‘String’ Hear Itself The Exact Solution to a Simplified IBVP

Journal of Optimization, Differential Equations and Their Applications, 2022
The separation of variables based solution to a simplified (compared to that published earlier in JODEA, 28 (1) (2020), 1 – 42) initial boundary value problem for a 1D linear degenerate wave equation, posed in a space-time rectangle, has been presented ...
Vladimir L. Borsch, Peter I. Kogut
doaj   +1 more source

ON AN INITIAL BOUNDARY-VALUE PROBLEM FOR 1D HYPERBOLIC EQUATION WITH INTERIOR DEGENERACY: SERIES SOLUTIONS WITH THE CONTINUOUSLY DIFFERENTIABLE FLUXES

Journal of Optimization, Differential Equations and Their Applications, 2020
Vladimir L. Borsch, Peter I. Kogut, Guenter Leugering   +2 more
doaj   +3 more sources

Theoretical and numerical analysis of a degenerate nonlinear cubic Schrödinger equation

Moroccan Journal of Pure and Applied Analysis, 2022
In this paper, we are interested in some theoretical and numerical studies of a special case of a degenerate nonlinear Schrödinger equation namely the so-called Gross-Pitaevskii Equation(GPE).
Alahyane Mohamed, Chrifi Abderrazak, Echarroudi Younes   +2 more
doaj   +1 more source