Results 211 to 220 of about 19,819 (247)
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Evolutionary Problems in Non-Cylindrical Domains
2021This survey article presents an existence theory developed in Bogelein et al. (SIAM J Math Anal 50(3): 3007–3057, 2018) for vector-valued gradient flows of integral functionals in bounded non-cylindrical domains \(E\subset {\mathbb {R}}^n\times [0,T)\).
Bögelein, Verena +2 more
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The stability and stabilization of heat equation in non-cylindrical domain
Journal of Mathematical Analysis and Applications, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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, 2004AbstractIn 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. +2 more
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On the dissipative Boussinesq equation in a non-cylindrical domain
Nonlinear Analysis: Theory, Methods & Applications, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Clark, H. R. +3 more
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Stability of degenerate heat equation in non-cylindrical/cylindrical domain
Zeitschrift für angewandte Mathematik und Physik, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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, 2007AbstractIn 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 +2 more
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The Dirichlet problem for second order parabolic operators in non‐cylindrical domains
Mathematische Nachrichten, 2010AbstractIn 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, 1988The 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, 2001The 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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