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AbstractContinuous dependence on a modelling parameter is established for solutions of a problem for a complex Ginzburg–Landau equation. A homogenizing boundary condition is also used to discuss the continuous dependence results. We derive a priori estimates that indicate that solutions depend continuously on a parameter in the governing differential ...
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A J Harfash, Harfash A J
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CONTINUOUS DEPENDENCE RESULTS FOR PARABOLIC PROBLEMS WITH TIME-DEPENDENT COEFFICIENTS
Quaestiones Mathematicae, 1991Abstract We prove continuous dependence results for parabolic problems in which the coefficients and boundary conditions depend on both space and time. Using semi-groups and fundamental solutions, together with a priori estimates for elliptic boundary value problems, we obtain continuous dependence results with respect to changes in the coefficients of
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On continuous control dependence of solutions of stochastic equations with monotone coefficients
Journal of Soviet Mathematics, 1991zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Abstract A stability theory is developed for second order elliptic boundary value problems by considering perturbations of the coefficients, right hand sides and boundary conditions. Systematic use is made of suitable a priori estimates in order to obtain stability results for the solutions in Sobolev spaces of arbitrary order and therefore also for ...
B Kok, F D Penning
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