The wave equation with locally distributed control in non-cylindrical domain [PDF]
Boundary Value Problems, 2019 This paper is concerned with exact internal controllability for a one-dimensional wave equation in a non-cylindrical domain. This equation characterizes the motion of a string with a fixed endpoint and the other moving one.
Lizhi Cui
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An existence result for evolution equations in non-cylindrical domains [PDF]
Nonlinear Differential Equations and Applications NoDEA, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
F. Paronetto
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Controllability for a One-Dimensional Wave Equation in a Non-cylindrical Domain [PDF]
Mediterranean Journal of Mathematics, 2019 This paper deals with the controllability for a one-dimensional wave equation with mixed boundary conditions in a non-cylindrical domain. This equation models small vibrations of a string where an endpoint is fixed and the other is moving.
I. P. de Jesus
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Multiplicity results for a class of $p(x)$-Kirchhoff type equations with combined nonlinearities [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2012 Using the mountain pass theorem combined with the Ekeland variational principle, we obtain at least two distinct, non-trivial weak solutions for a class of $p(x)$-Kirchhoff type equations with combined nonlinearities.
Nguyen Thanh Chung
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Construction of a Right Inverse for the Divergence in Non-cylindrical Time Dependent Domains [PDF]
Annals of PDE, 2021 We construct a stable right inverse for the divergence operator in non-cylindrical domains in space-time. The domains are assumed to be Hölder regular in space and evolve continuously in time.
Olli Saari, S. Schwarzacher
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Dynamical boundary conditions in a non-cylindrical domain for the Laplace equation [PDF]
Journal of Mathematical Analysis and Applications, 2017 In this paper, we study existence, uniqueness and asymptotic behavior of the Laplace equation with dynamical boundary conditions on regular non-cylindrical domains.
Pedro T. P. Lopes, Marcone C. Pereira
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Fredholmness of an abstract differential equation of elliptic type [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2004 In this work, we obtain algebraic conditions which assure the Fredholm solvability of an abstract differential equation of elliptic type. In this respect, our work can be considered as an extension of Yakubov's results to the case of boundary conditions ...
A. Aibeche
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Weak solutions of fractional differential equations in non cylindrical domain
Nonlinear Analysis: Real World Applications, 2016 We study a time fractional heat equation in a noncylindrical domain. The problem is one-dimensional. We prove existence of properly defined weak solutions by means of the Galerkin approximation.
A. Kubica, P. Rybka, K. Ryszewska
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The wave equation with internal control in non-cylindrical domains
Advances in Difference Equations, 2017 In this paper, we shall be concerned with interior controllability for a one-dimensional wave equation in a domain with moving boundary. When the speed of the moving endpoint is less than a certain constant which is less than the characteristic speed, we
L. Cui
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Pullback attractors for non-autonomous reaction-diffusion equation in non-cylindrical domains [PDF]
Advances in Difference Equations, 2016 In non-cylindrical domains, we use the definition of the variational solution and the maximum principle (the Galerkin method used usually in a cylindrical domain cannot be applied directly) to prove the existence of a pullback Dλ1\documentclass[12pt ...
Yanping Xiao
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