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On an initial inverse problem in nonlinear heat equation associated with time-dependent coefficient

Tuan Nguyen Huy — 2014

Applications of Mathematics

In this paper, a nonlinear backward heat problem with time-dependent coefficient in the unbounded domain is investigated. A modified regularization method is established to solve it. New error estimates for the regularized solution are given under some assumptions on the exact solution.

Regularization and error estimates for nonhomogeneous backward heat problems.

Trong, Dang Duc; Tuan, Nguyen Huy — 2006

Electronic Journal of Differential Equations (EJDE) [electronic only]

Stabilized quasi-reversibility method for a class of nonlinear ill-posed problems.

Trong, Dang Duc; Tuan, Nguyen Huy — 2008

Electronic Journal of Differential Equations (EJDE) [electronic only]

Remarks on a 2-D nonlinear backward heat problem using a truncated Fourier series method.

Trong, Dang Duc; Tuan, Nguyen Huy — 2009

Electronic Journal of Differential Equations (EJDE) [electronic only]

A quasi-boundary value method for regularizing nonlinear ill-posed problems.

Trong, Dang Duc; Quan, Pham Hoang; Tuan, Nguyen Huy — 2009

Electronic Journal of Differential Equations (EJDE) [electronic only]

A final value problem for heat equation: regularization by truncation method and new error estimates.

Trong, Dang Duc; Quan, Pham Hoang; Tuan, Nguyen Huy — 2010

Acta Universitatis Apulensis. Mathematics - Informatics

Regularization and new error estimates for a modified Helmholtz equation.

Tuan, Nguyen Huy; Quan, Pham Hoang; Trong, Dang Duc — 2010

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

A nonhomogeneous backward heat problem: regularization and error estimates.

Dang Duc Trong; Nguyen Huy Tuan — 2008

Electronic Journal of Differential Equations (EJDE) [electronic only]

A simple regularization method for the ill-posed evolution equation

Nguyen Huy Tuan; Dang Duc Trong — 2011

Czechoslovak Mathematical Journal

The nonhomogeneous backward Cauchy problem $u_{t} + A u (t) = f (t), u (T) = ϕ$ , where $A$ is a positive self-adjoint unbounded operator which has continuous spectrum and $f$ is a given function being given is regularized by the well-posed problem. New error estimates of the regularized solution are obtained. This work extends earlier results by N. Boussetila and by M. Denche and S. Djezzar.

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Currently displaying 1 – 9 of 9

On an initial inverse problem in nonlinear heat equation associated with time-dependent coefficient

Regularization and error estimates for nonhomogeneous backward heat problems.

Stabilized quasi-reversibility method for a class of nonlinear ill-posed problems.

Remarks on a 2-D nonlinear backward heat problem using a truncated Fourier series method.

A quasi-boundary value method for regularizing nonlinear ill-posed problems.

A final value problem for heat equation: regularization by truncation method and new error estimates.

Regularization and new error estimates for a modified Helmholtz equation.

A nonhomogeneous backward heat problem: regularization and error estimates.

A simple regularization method for the ill-posed evolution equation