Nonlinear Parabolic Equations
On the Time Periodic Free Boundary Associated to Some Nonlinear Parabolic Equations
... We give sufficient conditions, being also necessary in many cases, for the existence of a periodic free boundary generated as the boundary of the support of the periodic solution of a general class of nonlinear ...
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On Initial Boundary Value Problems with Equivalued Surface for Nonlinear Parabolic Equations
... for nonlinear parabolic equations, discuss the existence and uniqueness of renormalized solution, and give the relation between renormalized solutions and weak ...
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On the Computation of Extinction Time for Some Nonlinear Parabolic Equations
... The phenomenon of extinction is an important property of solutions for many evolutionary equa- tions. In this paper, a numerical simulation for computing the extinction time of nonnegative solu- tions for some ...
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Extinction and asymptotic behavior of solutions for nonlinear parabolic equations with variable exponent of nonlinearity
... about parabolic equations with variable exponents of ...of parabolic regularization and Galerkin’s method to prove the existence of weak solutions to problem ...
10
Almost Periodic Viscosity Solutions of Nonlinear Parabolic Equations
... Dirichlet problem in 1, and it follows the maximum principle of Crandall and Ishii 6. This paper is structured as follows. In Section 2, we present the definition and some properties of almost periodic functions. In ...
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Lower bound for the blow-up time for some nonlinear parabolic equations
... The study of finite-time blow-up of solutions to parabolic problems under a homoge- neous Dirichlet boundary condition and Neumann condition has earned great attention (see [–]). Recently, some papers began to ...
6
Approximate inertial manifolds for nonlinear parabolic equations via steady state determining mapping
... For nonlinear parabolic evolution equations, it is proved that, under the assumptions oflocal Lipschitz continuity of nonlinearity and the dissipativity of semiflows, there exist approxi[r] ...
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An H1 Galerkin method for a Stefan problem with a quasilinear parabolic equation in non divergence form
... A Galerkin Method For a Single Phase Nonlinear Stefan Problem with Dirichlet Boundary Conditions, Submitted.. Free-Boundary Problems For Nonlinear Parabolic Equations With Nonlinear Free[r] ...
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Numerical solution of parabolic equations by the box scheme
... a convergence proof of this scheme for the heat equation, for a linear parabolic system, and for a class of nonlinear parabolic equations.. Von Neumann stability is shown to hold for the[r] ...
134
Global Existence and Blow-Up of Solutions for a Quasilinear Parabolic Equation with Absorption and Nonlinear Boundary Condition
... for nonlinear parabolic equations have been extensively investigated by many authors in the last decades (see [1–6] and the references ...in nonlinear parabolic problems by using ...
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Controllability for Variational Inequalities of Parabolic Type with Nonlinear Perturbation
... In this paper, we no longer require the compact property in 1, the uniform boundedness in 2, and the inequality constraint on the range condition of the controller B, but instead we need the regularity and a variation of ...
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A Spectral Method in Time for Initial Value Problems
... presentations. Highly accurate modelling may require a high number of Chebyshev modes. The case we study develops a strong gradient near the boundary x = 1, and is representative of the gradients in, for example, edge ...
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On anisotropic parabolic equations with a nonlinear convection term depending on the spatial variable
... another kind of Banach space, then the conditions (2.5) and (2.6) may not be necessary, one can refer to our previous work [28]. Moreover, the condition (2.6) (also the condition (2.9)) reflects that there are some ...
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Existence of Solution for Nonlinear Elliptic Equations with Unbounded Coefficients and L1 Data
... i.e., in the distribution meaning seems to be an arduous task. To overcome this difficulty we use in this paper the framework of renormalized solutions. This notion was introduced by DiPerna and Lions 1 for the study of ...
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On Comparison Principles for Parabolic Equations with Nonlocal Boundary Conditions
... A generalization of the comparison principle for a semilinear and a quasilinear para- bolic equations with nonlocal boundary conditions including changing sign kernels is obtained. This generalization uses a ...
10
An optimally efficient technique for the solution of systems of nonlinear parabolic partial differential equations
... and nonlinear partial differential equations (PDEs) of parabolic ...efficient nonlinear multigrid solver it is possible to obtain computational solu- tions to a very high resolution with ...
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Time discretization of nonlinear Cauchy problems applying to mixed hyperbolic parabolic equations
... By reducing B to be a linear and bounded operator in H, the resulting initial value problem for 1.1 has been treated by Bensoussan, Lions, and Papanicolau [2], who stated the existence a[r] ...
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The local well-posedness of solutions for a nonlinear pseudo-parabolic equation
... The local existence and uniqueness of solutions for a nonlinear pseudo-parabolic equation are established in the Sobolev space C([0, T); H s (R n )) ∩ C 1 ([0, T); H s–1 (R n )) with s > n 2 . In ...
8
Gradient estimates for the Fisher–KPP equation on Riemannian manifolds
... Gradient estimates play an important role in studying elliptic and parabolic operators. The method originated first in [10] and [11], and was further developed by Li and Yau [9], Li [12], Negrin [13], Souplet and ...
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EXACT SOLUTIONS FOR SOME NONLINEAR FRACTIONAL PARABOLIC EQUATIONS
... differential equations in studies some natural phenomena, has spurred many researchers for the study and discusses some of the well-knownclassicaldifferentialequations, (see ...the equations: ...
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