Výsledky vyhledávání - Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs

Exponential stabilization and continuous dependence of solutions on initial data in different norms for space-time-varying linear parabolic PDEs Autor Chen, Qiaoling, Zheng, Jun, Zhu, Guchuan

“…}\)-norm, respectively, of the initial data. In order to obtain time-independent (and thus sufficiently smooth…”
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Dependence of the efficiency of a posteriori estimation of the solution accuracy of an elliptic boundary-value problem on the problem data and estimation algorithm parameters Autor Bogolyubov, A. N., Malykh, M. D., Panin, A. A.

“… Repin for approximate solutions of elliptical equations and the problem data and estimation algorithm parameters used…”
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Chapter 2 - Solution dependence on problem type, medium parameters, and initial data Autor V.I. Klyatskin

“… Many applications associated with studying statistical characteristics of the solutions to these equations need the understanding of the solution dependence, generally, in the functional form…”
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Continuous dependence of the solution of a parabolic equation in a Hilbert space on the parameters and initial data Autor Otelbaev, M., Zhapsarbaeva, L. K.

“…We present classes of equations for which weak a priori estimates hold and prove the global strong solvability of one system of equations…”
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A Continuous Dependence of a Solution Set for Fractional Differential Inclusions of an Order on Parameters and Initial Data Autor Kamenskii, M., Obukhovskii, V., Petrosyan, G.

“…By using the fixed point theory for condensing multivalued maps, we prove the continuous dependence on parameters and initial data of a solution set of the Cauchy type problem for fractional order…”
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A Continuous Dependence of a Solution Set for Fractional Differential Inclusions of an Order $$\boldsymbol{q\in(1,2)}$$ on Parameters and Initial Data Autor Kamenskii, M., Obukhovskii, V., Petrosyan, G.

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