Parabolic Systems
Asymptotic behavior of solutions to a class of coupled nonlinear parabolic systems
... This paper studies the Cauchy problem to a class of coupled nonlinear parabolic systems and investigates the asymptotic behavior of solutions to the problem. The blow-up theorem of Fujita type is ...
11
Regional Observability with Constraints on the State of Semilinear Parabolic Systems
... semilinear parabolic systems (also called enlarged ...real systems is obtained from measures or form approxima- ...such systems is approximately known and required to be only between two ...
15
Approximation methods for inverse problems governed by nonlinear parabolic systems
... We present a rigorous theoretical framework for approximation of nonlinear parabolic systems with delays in the context of inverse least squares problems. Convergence of approximate optimal parameters and ...
32
Constrained Feedback Stabilization for Bilinear Parabolic Systems
... In this work, we have considered the problem of strong stabilization with polynomial decay rate of the stabilized state for bilinear parabolic systems that can be decomposed in the stable and unstable parts ...
13
Blow Up Phenomena for a Class of Parabolic Systems with Time Dependent Coefficients
... In a recent paper [1] Payne and Schaefer have investi- gated the blow-up phenomena of solutions in some para- bolic systems of equations under homogeneous Dirichlet boundary conditions. The contribution of this ...
6
Controllability of Co-Operative Neumann Parabolic Systems
... co-operative parabolic systems with Neumann conditions, with deferent cases of ...general parabolic systems involving the following second order operator : ...
7
Study on the generalized \((p,q)\)-Laplacian elliptic systems, parabolic systems and integro-differential systems
... elliptic systems, parabolic systems and integro-differential systems involving the generalized (p, q)-Laplacian ...The systems discussed in this paper and the method used extend and ...
24
Interpolation inequalities for weak solutions of nonlinear parabolic systems
... and systems has received considerable attention over the last thirty ...concerning parabolic systems in divergence form of order 2m with quadratic growth and the corresponding analytic properties of ...
17
Global existence and nonexistence for a class of parabolic systems with time-dependent coefficients
... In this paper, we study the global existence and nonexistence to the nonnegative solution of a class of parabolic systems with time-dependent coefficients. More precisely, the existence of a global solution ...
12
Time Optimal Control Problem for n× n Co Operative Parabolic Systems with Control in Initial Conditions
... of systems governed by parabolic equa- tions are extended to the case of co-operative parabolic systems as well as control via initial ...
6
Singularities of the minimum time function for semilinear parabolic systems
... However, the open question remains whether the minimum time function associated with a system of the form (1) may still be nonsmooth. In section 2 of this paper we provide such an example for a 2 × 2 reaction diffusion ...
14
Enlarged Gradient Observability for Distributed Parabolic Systems: HUM Approach
... The paper is structured as follows. Section 2 we recall the regional enlarged gradient observability of a linear parabolic system, then we give some definition and properties related to this notion. Section 3 ...
14
On Some Lag Synchronization and Higher Order Parabolic Systems
... [26] Mahmoud M. El- Borai, Wagdy G. Elsayed and Ragab M. Al- Masroub, Exact solutions for some nonlinear fractional parabolic equations, International Journal of Advances in Engineering Research, vol. 10, Issue ...
7
Diffraction problems for quasilinear parabolic systems with boundary intersecting interfaces
... quasilinear parabolic and elliptic diffraction problems, when all of the in- terfaces k do not intersect with ∂, the existence and uniqueness of the solutions ...
14
Regional Controllability of Semi Linear Distributed Parabolic Systems: Theory and Simulation
... The aim of this brief paper is to give several results concerning the regional controllability of distributed systems gov- erned by semi-linear parabolic equations. We concentrate on the determination of a ...
13
Doubly Nonlinear Parabolic Systems In Inhomogeneous Musielak- Orlicz-Sobolev Spcaes
... Benkirane A., Bennouna J.:” Existence and uniqueness of so- lution of unilateral problems with L 1 -data in Orlicz spaces”. Kellou M.A., Benkirane A., Douiri S.M.,” An inequality of type[r] ...
13
An adaptive multigrid tool for elliptic and parabolic systems
... White Rose Consortium ePrints Repository http://eprints.whiterose.ac.uk/ This is an author produced version of a paper published in International Journal for Numerical Methods in Fluids.[r] ...
8
On the Dynamics of Nonautonomous Parabolic Systems Involving the Grushin Operators
... Nonautonomous equations are of great importance and interest as they appear in many applications in the natural sciences. One way of studying the long-time behavior of solutions of such equations is using the theory of ...
28
Higher integrability for weak solutions to a degenerate parabolic system with singular coefficients
... and parabolic equations and systems has been studied by many authors (see [1–8] and the references ...elliptic systems with Hölder continuous coefficients and obtained the higher integrability of weak ...
15
Estimation of time dependent parameters in general parabolic evolution systems
... 4. Concluding Remarks. In this paper we have developed a unied theoretical and computational approach for estimating time dependent parameters in abstract parabolic systems. These results are readily ...
23