Semilinear Parabolic Equations
Fully discrete Finite Element Approximations of Semilinear Parabolic Equations in a Nonconvex Polygon
... We have presented an approach for the solution of Semilinear parabolic equations in nonconvex polygonal domains. A priori error estimates in norms for the fully discrete case are discussed and ...
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A necessary and sufficient condition for uniqueness of the trivial solution in semilinear parabolic equations
... of semilinear parabolic equations with respect to the class of bounded, non-negative ...the parabolic PDE also inherits the non-uniqueness ...
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A Consecutive Quasilinearization Method for the Optimal Boundary Control of Semilinear Parabolic Equations
... Optimal boundary control of semilinear parabolic equations requires efficient solution methods in applications. Solution methods bypass the nonlinearity in different approaches. One approach can be ...
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Existence and uniqueness to the Cauchy problem for linear and semilinear parabolic equations with local conditions⋆
... and [20] where the authors consider a HARA utility function and the optimization is made over the investment and consumption strategies. One of the main techniques to deal with this probabilistic problem, is to find a ...
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Stability and numerical approximation for a spacial class of semilinear parabolic equations on the Lipschitz bounded regions: Sivashinsky equation
... Abstract This paper aims to investigate the stability and numerical approximation of the Sivashinsky equations. We apply the Galerkin meshfree method based on the radial basis functions (RBFs) to discretize the ...
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Remarks on the approximate and null controllability of semilinear parabolic equations
... Finally, observe that the arguments used in the proof of theorem 2.1 (and corollary 3.1) also serve, with appropriate changes, to investigate the controlla- bility properties of some quasilinear parabolic systems. ...
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Critical global asymptotics in higher order semilinear parabolic equations
... The phenomenon of critical noninvariant asymptotics is expected to exist for a wider class of evolution equations including quasilinear higher-order par- abolic equations. Nevertheless, it is not easy to ...
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Asymptotic behavior of solutions to a class of semilinear parabolic equations
... quasilinear parabolic equations and sys- tems in various of geometries (whole spaces, cones, and exterior domains) with nonlinear reactions or nonhomogeneous boundary conditions, and even degenerate ...
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An approximation scheme for semilinear parabolic PDEs with convex and coercive Hamiltonians
... of semilinear parabolic equations whose Hamiltonian is convex and coercive to the ...linear parabolic equation and the second to a Hamilton-Jacobi ...these equations are approximated ...
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Note on Prodi Serrin Ladyzhenskaya type regularity criteria for the Navier Stokes equations
... Remarks on regularity criterion for weak solutions to the Navier-Stokes equations in terms of the gradient of the pressure.. Solutions for semilinear parabolic equations in Lp and regula[r] ...
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Moore Penrose Inverse and Semilinear Equations
... In this paper, using Moore-Penrose inverse A+ and the Rothe’s Fixed Theorem [5] [6] [7], we shall prove the following theorem:.. exists and f is continuous and satisfies the.[r] ...
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Approximate controllability of a class of coupled degenerate systems
... generate parabolic equations over the last years and there have been a great number of results (see for instance [–] and the references therein for a detailed ...degenerate parabolic ...
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Semilinear evolution equations with distributed measures
... 8. Gordon, RA: The Integrals of Lebesgue, Denjoy, Perron and Henstock. Grad. Stud. in Math. (1994) 9. Tvrdý, M: Differential and integral equations in the space of regulated functions. Habil. Thesis, Praha (2001) ...
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On weak solutions of semilinear hyperbolic parabolic equations
... Observe that on the set K x, t 0 the equation 1 7 degenerate into parabolic equation In this paper we study existence and uniqueness of weak solution of the mixed problem for the equatio[r] ...
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Boundary gradient exact enlarged controllability of semilinear parabolic problems
... The concept of controllability has been widely devel- oped since the sixties [1,2]. Later, the notion of regional controllability was introduced by El Jai [3,4], and in- teresting results have been obtained, in ...
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Blowup Analysis for a Semilinear Parabolic System with Nonlocal Boundary Condition
... On the other hand, there are a number of important phenomena modeled by parabolic equations coupled with nonlocal boundary condition of form 1.2. In this case, the solution could be used to describe the ...
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Grow-up rate of solutions for the heat equation with a sublinear source
... Fila, M, Winkler, M, Yanagida, E: Slow convergence to zero for a parabolic equation with a supercritical nonlinearity. Stinner, C: Very slow convergence rates in a semilinear parabolic e[r] ...
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Fujita type theorems for a class of coupled semilinear parabolic systems with gradient terms
... This paper concerns the asymptotic behavior of the solution to a class of coupled semilinear parabolic systems with gradient terms. The Fujita-type blow-up theorems are established and the critical Fujita ...
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Global Existence, Exponential Decay and Finite Time Blow-up of Solutions for a Class of Semilinear Pseudo-parabolic Equations with Conical Degeneration
... In the conical degeneration case, Chen et al. established the corresponding Sobolev inequality and Poincar´ e inequality on the cone Sobolev spaces in [6]. Then in [5], Chen and Liu proved the existence theorem of global ...
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On Degenerate Parabolic Equations
... Due to the possible jumps of θ, problem P enters the class of Stefan problems. In the present paper, we are interested in the parabolic problem with regular data. It is similar in many respects to the so-called ...
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