Continuous dependence on modeling for some well-posed perturbations of the backward heat equation.

Ames, K.A.; Payne, L.E.

Displaying similar documents to “Continuous dependence on modeling for some well-posed perturbations of the backward heat equation.”

On the backward heat problem: evaluation of the norm of $\partial u / \partial t$ .

Biollay, Yves (1980)

International Journal of Mathematics and Mathematical Sciences

Similarity:

A boundary value problem with multivariables integral type condition for parabolic equations.

Marhoune, A.L., Lakhal, F. (2009)

Journal of Applied Mathematics and Stochastic Analysis

Similarity:

Asymptotics for large time of solutions to nonlinear system associated with the penetration of a magnetic field into a substance

Temur A. Jangveladze, Zurab V. Kiguradze (2010)

Applications of Mathematics

Similarity:

The nonlinear integro-differential system associated with the penetration of a magnetic field into a substance is considered. The asymptotic behavior as $t \to \infty$ of solutions for two initial-boundary value problems are studied. The problem with non-zero conditions on one side of the lateral boundary is discussed. The problem with homogeneous boundary conditions is studied too. The rates of convergence are given. Results presented show the difference between stabilization characters of solutions...