Estimates for solutions of nonautonomous semilinear ill-posed problems

DOI10.3934/PROC.2015.0479zbMath1338.47122OpenAlexW2319813330MaRDI QIDQ260825

Matthew A. Fury

Publication date: 22 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/proc.2015.0479

zbMATH Keywords

ill-posed problemsbackward heat equationsemilinear evolution equations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear differential equations in abstract spaces (34G20) Applications of operator theory to differential and integral equations (47N20)

Related Items (4)

Logarithmic well-posed approximation of the backward heat equation in Banach space ⋮ Approximate controllability of semilinear control system using Tikhonov regularization ⋮ Ill-posed problems associated with sectorial operators in Banach space ⋮ Regularization of backward parabolic equations in Banach spaces by generalized Sobolev equations

Cites Work

• Regularization for ill-posed inhomogeneous evolution problems in a Hilbert space
• Continuous dependence on modeling for nonlinear ill-posed problems
• Semigroups of linear operators and applications to partial differential equations
• The final value problem for evolution equations
• On a backward parabolic problem with local Lipschitz source
• Modified quasi-reversibility method for final value problems in Banach spaces
• Structural stability for ill-posed problems in Banach space
• Approximation of a parabolic non-linear evolution equation backwards in time
• General theory of the ill-posed Cauchy problem
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