Results 11 to 20 of about 639,340 (301)
Pullback attractors for a semilinear heat equation in a non-cylindrical domain
Journal of Differential Equations, 2008 The existence and uniqueness of a variational solution satisfying energy equality is proved for a semilinear heat equation in a non-cylindrical domain with homogeneous Dirichlet boundary condition, under the assumption that the spatial domains are bounded and increase with time.
P. Kloeden, P. Marín-Rubio, J. Real
semanticscholar +6 more sources
Exact controllability of wave equations with locally distributed control in non-cylindrical domain
Journal of Mathematical Analysis and Applications, 2020 Exact controllability of a one-dimensional wave equation with locally distributed control in non-cylindrical domain is considered. This equation characterizes the motion of a string with a fixed endpoint and the other moving one. If the adjoint system is
L. Cui
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Mathematics, 2023 In this paper, by applying the Hilbert Uniqueness Method in a non-cylindrical domain, we prove the exact null controllability of one wave equation with a moving boundary.
Lizhi Cui, Jing Lu
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Existence of solution to parabolic equations with mixed boundary condition on non-cylindrical domains [PDF]
Journal of Differential Equations, 2016 In this paper we study the existence of weak solutions to initial boundary value problems of linear and semi-linear parabolic equations with mixed boundary conditions on non-cylindrical domains ⋃ t ∈ ( 0 , T ) Ω ( t ) × { t } of spatial-temporal space R ...
Tujin Kim, D. Cao
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Capillary Surfaces in Non-Cylindrical Domains
Zeitschrift für Analysis und ihre Anwendungen, 2000 This paper is concerned with the capillary problem in a class of non-cylindrical domains in K \subset \mathbb R^{n+1} obtained by scaling a bounded cross-section \Omega \subset \mathbb R^n
G. Schindlmayr
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Non-Fourier Heat Conduction of a Functionally Graded Cylinder Containing a Cylindrical Crack
Advances in Mathematical Physics, 2020 The present work investigates the problem of a cylindrical crack in a functionally graded cylinder under thermal impact by using the non-Fourier heat conduction model.
Jiawei Fu +3 more
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Remarks on hierarchic control for the wave equation in a non cylindrical domain
Bulletin of the Brazilian Mathematical Society, New Series, 2015 9 pages.
Isaías Pereira de Jesus
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Exact controllability problem of a wave equation in non-cylindrical domains
Electronic Journal of Differential Equations, 2015 Let $\alpha: [0, \infty)\to(0, \infty)$ be a twice continuous differentiable function which satisfies that $\alpha(0)=1$, $\alpha'$ is monotone and ...
Hua Wang, Yijun He, Shengjia Li
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The $L^{p}$ regularity problem for the heat equation in non-cylindrical domains
Illinois Journal of Mathematics, 1999 The authors consider the Dirichlet problem for the heat equation in a domain with minimally smooth boundary. They obtain sharp \(L^p\) estimates fo the parabolic non tangential maximal function of the gradient of the solutions.
S. Hofmann, John L. Lewis
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Exact Null Controllability of a One-Dimensional Wave Equation with a Mixed Boundary
Mathematics, 2023 In this paper, exact null controllability of one-dimensional wave equations in non-cylindrical domains was discussed. It is different from past papers, as we consider boundary conditions for more complex cases.
Lizhi Cui, Jing Lu
doaj +1 more source