On Initial Boundary Value Problems with Equivalued Surface for Nonlinear Parabolic Equations
نویسنده
چکیده
منابع مشابه
The L∞-null controllability of parabolic equation with equivalued surface boundary conditions
In this paper, we obtain the L∞−null controllability of the parabolic equation with equivalued surface boundary conditions in Ω× [0, T ]. The control is supported in the product of an open subset of Ω and a subset of [0, T ] with positive measure. The main result is obtained by the method of Lebeau-Robianno-type iteration, based on a new estimate for partial sum of the eigenfunctions of the ell...
متن کاملNonlinear oblique derivative problems for singular degenerate parabolic equations on a general domain
We establish comparison and existence theorems of viscosity solutions of the initial-boundary value problem for some singular degenerate parabolic partial di/erential equations with nonlinear oblique derivative boundary conditions. The theorems cover the capillary problem for the mean curvature 1ow equation and apply to more general Neumann-type boundary problems for parabolic equations in the ...
متن کاملPeriodic boundary value problems for controlled nonlinear impulsive evolution equations on Banach spaces
This paper deals with the Periodic boundary value problems for Controlled nonlinear impulsive evolution equations. By using the theory of semigroup and fixed point methods, some conditions ensuring the existence and uniqueness. Finally, two examples are provided to demonstrate the effectiveness of the proposed results.
متن کاملOn the order of accuracy for difference approximations of initial-boundary value problems
Finite difference approximations of the second derivative in space appearing in, parabolic, incompletely parabolic systems of, and second order hyperbolic, partial differential equations are considered. If the solution is pointwise bounded, we prove that finite difference approximations of those classes of equations can be closed with two orders less accuracy at the boundary without reducing th...
متن کاملSolution Posedness for a Class of Nonlinear Parabolic Equations with Nonlocal Term
Based on denoising, segmentation and restoration problems of image processing and combined with two-phase flow mathematical theory, this paper proposes a class of nonlinear parabolic equations with nonlocal term. By fixed point theorem, the existence of initial boundary value problem is gotten. And then this paper establishes solution uniqueness and stability about initial value u0 and free ter...
متن کامل