Stochastic Regularization Method for Backward Cauchy Problem in Banach Spaces

DOI10.1080/01630563.2011.604196zbMath1242.65107OpenAlexW2037498718MaRDI QIDQ3114577

No author found.

Publication date: 19 February 2012

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2011.604196

zbMATH Keywords

Banach spacesregularizationwell-posednessdifference schemessemidiscretizationdiscrete semigroupsill-posed problemfull discretizationbackward Cauchy problemAbstract differential equations

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) One-parameter semigroups and linear evolution equations (47D06) Ill-posed problems for PDEs (35R25) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical solutions to equations with linear operators (65J10) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Linear differential equations in abstract spaces (34G10) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical solutions to abstract evolution equations (65J08)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Differential equations in Banach spaces. II: Theory of cosine operator functions
• Semigroups of linear operators and applications to partial differential equations
• Stochastic methods for ill-posed problems
• Ill-posed problems, \(C_{0}\)-semigroups and the Showalter regularization
• \(C\)-semigroups and the Cauchy problem
• Regularization for ill-posed Cauchy problems associated with generators of analytic semigroups
• Structural stability for ill-posed problems in Banach space
• ESTIMATES OF THE RATE OF CONVERGENCE IN SOLVING ILL-POSED PROBLEMS FOR EVOLUTION EQUATIONS
• Approximative methods for nonlinear equations (two approaches to the convergence problem)
• High strong order explicit Runge-Kutta methods for stochastic ordinary differential equations

This page was built for publication: Stochastic Regularization Method for Backward Cauchy Problem in Banach Spaces