Results 271 to 280 of about 2,690,910 (310)

Regularity of the solution for a final value problem for the Rayleigh‐Stokes equation

Mathematical Methods in the Applied Sciences, 2019
In this paper, we deal with the backward problem of determining initial condition for Rayleigh‐Stokes where the data are given at a fixed time. The problem has many applications in some non‐Newtonian fluids. We give some regularity properties of the solution to backward problem.
Nguyen Huy Tuan, Yong Zhou, Yong Zhou
exaly   +4 more sources

The final value problem

open access: yes, 1987
One of the classical ill-posed problems (in the sense of Hadamard) is the final value problem for evolution equations; a special case of this problem is the solution of the heat equation backwards in time. We consider some regularization methods for this ill-posed problem.
J. Baumeister
semanticscholar   +3 more sources

Existence and uniqueness of mild solutions for a final value problem for nonlinear fractional diffusion systems

Communications in Nonlinear Science and Numerical Simulation, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nguyen Huy Tuan
exaly   +3 more sources

Final value problem for Rayleigh-Stokes type equations involving weak-valued nonlinearities

Fractional Calculus and Applied Analysis, 2023
Pham Thanh Tuan   +2 more
exaly   +3 more sources

Final value problem for nonlinear time fractional reaction–diffusion equation with discrete data

Journal of Computational and Applied Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nguyen Huy Tuan   +4 more
openaire   +2 more sources

Regularization of a final value problem for a nonlinear biharmonic equation

Mathematical Methods in the Applied Sciences, 2019
In this paper, we consider the nonlinear biharmonic equation. The problem is ill‐posed in the sense of Hadamard. To obtain a stable numerical solution, we consider a regularization method. We show rigourously, with error estimates provided, that the corresponding regularized solutions converge to the true solution strongly in uniformly with respect ...
Danh Hua Quoc Nam   +3 more
openaire   +3 more sources

Error Bounds in the Final Value Problem for the Heat Equation

SIAM Journal on Mathematical Analysis, 1976
Consider the following problem. Given the positive constants $\delta $, M, T and $f(x)$ in $L^2 (\Omega )$, find all solutions of $u_t = \Delta u$ in $\Omega \times (0,T]$, $u = 0$ on $\partial \Omega \times (0,T]$, such that $\| {u( \cdot ,T) - f} \|_{L^2 } \leqq \delta $, $\| {u( \cdot ,0) - f} \|_{L^2 } \leqq M$.
A. Carasso
openaire   +3 more sources

Final value problem governed by a class of time‐space fractional pseudo‐parabolic equations with weak nonlinearities

Mathematical Methods in the Applied Sciences
We study the final value problem involving a class of semilinear fractional pseudo‐parabolic equations, where the nonlinearity probably takes values in fractional Sobolev spaces.
Tran Dinh Ke, Nguyen Huy Tuan
exaly   +2 more sources

Generalized Tikhonov method for the final value problem of time-fractional diffusion equation

International Journal of Computer Mathematics, 2015
This paper investigates the final value problem for a time-fractional diffusion equation. We determine the initial data from a noisy final data. A generalized Tikhonov regularization method is proposed to deal with this ill-posed problem, and then the convergence rates is derived by the a-priori and a-posteriori choice rules of regularization parameter.
Hongwu Zhang, Xiaoju Zhang
openaire   +2 more sources

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