A STABLE METHOD FOR LINEAR EQUATION IN BANACH SPACES WITH SMOOTH NORMS

DOI10.15826/UMJ.2018.2.007zbMath1450.65046OpenAlexW2908407934WikidataQ128652807 ScholiaQ128652807MaRDI QIDQ5125219

A. A. Dryazhenkov, M. M. Potapov

Publication date: 5 October 2020

Published in: Ural mathematical journal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/umj63

zbMATH Keywords

wave equationBanach spacenumerical solutionlinear operator equationsourcewise representabilitystable method

Mathematics Subject Classification ID

Numerical solutions to equations with linear operators (65J10) Operators on Banach spaces (47B01)

Cites Work

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• Regularization methods in Banach spaces.
• Variational methods in imaging
• Functional analysis, Sobolev spaces and partial differential equations
• Strong convergence of difference approximations for problems of boundary control and observation for the wave equation
• A stable method for solving linear equations with nonuniformly perturbed operator
• On some properties of generalized solutions of the wave equation in the classes \(L _{p }\) and \(W^1_p\) for \(p \geq 1\)
• Constructive observability inequalities for weak generalized solutions of the wave equation with elastic restraint
• Exact Controllability, Stabilization and Perturbations for Distributed Systems
• A Technique for the Numerical Solution of Certain Integral Equations of the First Kind
• Methods for solving monotonic variational inequalities, based on the principle of iterative regularization
• Propagation, Observation, and Control of Waves Approximated by Finite Difference Methods

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