Results 171 to 175 of about 32,657 (175)

Exact controllability of wave equations with locally distributed control in non-cylindrical domain

Journal of Mathematical Analysis and Applications, 2020
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$ L_p$-solubility of the Dirichlet problem for the heat equation in non-cylindrical domains

Sbornik: Mathematics, 2002
This paper deals with the \(L^p\)-solvability of the Dirichlet problem for the heat equation in non-cylindrical domains with characteristic points at the boundary. The author studies the first boundary value problem in weighted \(L^p\)-spaces. He proposes an approach, which enables him to find a necessary and sufficient condition for the unique ...
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Absolute continuity of parabolic measure and area integral estimates in non-cylindrical domains

Indiana University Mathematics Journal, 2003
The author consider the operator \[ Lu=-\frac{\partial u}{\partial t}+\text{div}A\cdot\nabla u, \] where \(A(X,t)=(a_{ij}(X,t))\) is a symmetric \(n\times n\) matrix of bounded measurable real-valued functions defined on \(\mathbb R^{n+1}\) satisfying, for \(\xi\in\mathbb R^n\) and \((X,t)\in\mathbb R^{n+1}\) the condition \(\lambda| \xi| ^2\leq\sum_{i,
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Exact controllability of the wave equation in non cylindrical domains

Summary: We study the exact boundary controllability of the wave equation \(u''- \Delta u=0\) in a non cylindrical domain of \({\mathbf R}^{n+1}\) which is the union of dilatations and contractions of a bounded open of \({\mathbf R}^ n\).
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Boundary Control for Non-Autonomous Parabolic Equations in Non-Cylindrical Domains

1994
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