Results 11 to 20 of about 40,292 (276)
System of degenerate parabolic p-Laplacian
Open MathematicsIn this article, we study the mathematical properties of the solution u=(u1,…,uk){\bf{u}}=({u}^{1},\ldots ,{u}^{k}) to the degenerate parabolic system ut=∇⋅(∣∇u∣p−2∇u),(p>2).{{\bf{u}}}_{t}=\nabla \hspace{0.25em}\cdot \hspace{0.25em}({| \nabla {\bf{u}}| }^
Kim Sunghoon, Lee Ki-Ahm
doaj +4 more sources
Weak solutions for quasilinear degenerate parabolic systems
Electronic Journal of Differential Equations, 2006 This paper concerns the initial Dirichlet boundary-value problem for a class of quasilinear degenerate parabolic systems. Due to the degeneracies, the problem does not have classical solutions in general.
Zheng'an Yao, Wenshu Zhou
doaj +2 more sources
Controllability of nonlinear degenerate parabolic cascade systems
Electronic Journal of Differential Equations, 2016 This article studies of null controllability property of nonlinear coupled one dimensional degenerate parabolic equations. These equations form a cascade system, that is, the solution of the first equation acts as a control in the second equation and
Mamadou Birba, Oumar Traore
doaj +2 more sources
Lipschitz stability for degenerate parabolic systems
Electronic Journal of Differential Equations, 2014 In this article, we study an inverse problem for weakly degenerate coupled parabolic systems with one force. We establish Lipschitz stability for the source term from measurements of one component of the solution at a positive time and on a subset of
Idriss Boutaayamou +2 more
doaj +2 more sources
Properties of generalized degenerate parabolic systems
Advances in Nonlinear Analysis, 2022 Abstract In this article, we consider the parabolic system (
Kim Sunghoon, Lee Ki-Ahm
openaire +3 more sources
Gradient Hölder regularity for degenerate parabolic systems
Nonlinear Analysis, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bögelein, Verena +3 more
openaire +3 more sources
Gradient Higher Integrability for Degenerate Parabolic Double-Phase Systems
Archive for Rational Mechanics and Analysis, 2023 AbstractWe prove a local higher integrability result for the gradient of a weak solution to degenerate parabolic double-phase systems of p-Laplace type. This result comes with reverse Hölder type estimates. The proof is based on a careful phase analysis, estimates in the intrinsic geometries and stopping time arguments.
Kim, Wontae, Kinnunen, J, Moring, K
openaire +3 more sources
Local continuity and asymptotic behaviour of degenerate parabolic systems [PDF]
Nonlinear Analysis, 2020 37p
Kim, Sunghoon, Lee, Ki-Ahm
openaire +3 more sources
Null controllability of degenerate parabolic cascade systems
Portugaliae Mathematica, 2011 In this paper, we study the null controllability of degenerate semilinear cascade parabolic systems with one control force. The key tool is the Carleman estimates developed recently for degenerate one dimension parabolic equations. We develop a Carleman estimate for these systems and then an observability inequality for the linear adjoint system.
Ait Ben Hassi, El Mustapha +3 more
openaire +1 more source
Adaptive Parameter Estimation for Degenerate Parabolic Systems
Journal of Mathematical Analysis and Applications, 1995 Parameter identification, or estimation, simply means the determination of unknown parameters (which may be either scalar, vector, or functional) in a proposed model for a given physical system based upon input/output data. Here, an adaptive (on-line) identification scheme for first-order in time implicit and possibly degenerate distributed parameter ...
Demetriou, M.A., Rosen, I.G.
openaire +1 more source