Results 161 to 170 of about 32,657 (175)

The stability and stabilization of heat equation in non-cylindrical domain

Journal of Mathematical Analysis and Applications, 2021
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Li, Lingfei, Gao, Hang
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Stability for the beam equation with memory in non‐cylindrical domains

Mathematical Methods in the Applied Sciences, 2004
AbstractIn this paper, we prove the exponential decay as time goes to infinity of regular solutions of the problem for the beam equation with memory and weak damping where ${\hat{Q}}$ is a non‐cylindrical domains of ℝn+1 (n⩾1) with the lateral boundary ${\hat{\sum}}$ and α is a positive constant. Copyright © 2004 John Wiley & Sons, Ltd.
Ferreira, J., Santos, M. L., Matos, M. P.   +2 more
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On the dissipative Boussinesq equation in a non-cylindrical domain

Nonlinear Analysis: Theory, Methods & Applications, 2007
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Clark, H. R., Cousin, A. T., Frota, C. L., Límaco, J.   +3 more
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Stability of degenerate heat equation in non-cylindrical/cylindrical domain

Zeitschrift für angewandte Mathematik und Physik, 2019
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Gao, Hang, Li, Lingfei, Liu, Zhuangyi
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Beam evolution equation with variable coefficients in non‐cylindrical domains

Mathematical Methods in the Applied Sciences, 2007
AbstractIn this article, we present results concerning with the existence of global solutions and a rate decay estimate for energy associated with an initial and boundary value problem for a beam evolution equation with variable coefficients in non‐cylindrical domains. Copyright © 2007 John Wiley & Sons, Ltd.
C. S. Q. De Caldas, J. Límaco, R. K. Barreto   +2 more
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The Dirichlet problem for second order parabolic operators in non‐cylindrical domains

Mathematische Nachrichten, 2010
AbstractIn this paper we develope a perturbation theory for second order parabolic operators in non‐divergence form. In particular we study the solvability of the Dirichlet problem in non cylindrical domains with Lp ‐data on the parabolic boundary (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
ARGIOLAS, ROBERTO, A. PIRO GRIMALDI
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An optimal control problem for a parabolic equation in non-cylindrical domains

Systems & Control Letters, 1988
The authors study an optimal control problem for a parabolic equation with homogeneous Dirichlet data described by \[ (1)\quad (\partial /\partial t)y(t,x)=\Delta y(t,x)+u(t,x),\quad t\geq 0,\quad x\in \Omega_ t, \] \[ y(0,x)=y_ 0(x),\quad x\in \Omega_ 0,\quad y(t,x)=0,\quad t\geq 0,\quad x\in \Gamma_ t. \] Here, \(\Omega_ t\) is a bounded open set of \
Da Prato, G., Zolésio, J. P.
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Time-dependent parabolic problems on non-cylindrical domains with inhomogeneous boundary conditions

Journal of Evolution Equations, 2001
The authors introduce a method for solving parabolic problems with nonhomogeneous boundary values in non-cylindrical domains. Their starting point is a result of Arendt and Bénilan which says that if \(\Omega\) is a bounded open subset of \(\mathbb R^n\) and if \(A\) is a second-order, uniformly elliptic operator in divergence form then the Dirichlet ...
Lumer, Günter, Schnaubelt, Roland
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Discontinuous Galerkin methods for the linear Schrödinger equation in non-cylindrical domains

Numerische Mathematik, 2010
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Antonopoulou, D. C., Plexousakis, M.
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On the regularity of the heat equation solution in non-cylindrical domains: Two approaches

Applied Mathematics and Computation, 2011
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Kheloufi, Arezki, Sadallah, Boubaker-Khaled   +1 more
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