Degenerate first-order inverse problems in Banach spaces

DOI10.1016/j.na.2011.08.001zbMath1232.34022OpenAlexW2036154243MaRDI QIDQ644178

Mohammed Al Horani, Angelo Favini

Publication date: 3 November 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.08.001

zbMATH Keywords

inverse problem\(C_0\)-semigroupanalytic semigroupfirst order problem

Mathematics Subject Classification ID

Linear differential equations in abstract spaces (34G10) Inverse problems involving ordinary differential equations (34A55)

Related Items (14)

Linear inverse problems for multi-term equations with Riemann-Liouville derivatives ⋮ Identification problem for a degenerate evolution equation with overdetermination on the solution semigroup kernel ⋮ Inverse problems for evolution equations with time dependent operator-coefficients ⋮ Inverse linear problems for a certain class of degenerate fractional evolution equations ⋮ Identification for degenerate problems of hyperbolic type ⋮ A class of inverse problems for fractional order degenerate evolution equations ⋮ Linear inverse problems for degenerate evolution equations with the Gerasimov–Caputo derivative in the sectorial case ⋮ Perturbation method for first- and complete second-order differential equations ⋮ Parabolic first and second order differential equations ⋮ Inverse problem for evolutionary equation with the Gerasimov-Caputo fractional derivative in the sectorial case ⋮ Inverse problems for a class of linear Sobolev type equations with overdetermination on the kernel of operator at the derivative ⋮ First-order regular and degenerate identification differential problems ⋮ Inverse problems for a class of degenerate evolution equations with Riemann - Liouville derivative ⋮ Analysis of a generalized regularized Gauss–Newton method under heuristic rule in Banach spaces

Cites Work

• Projection method for solving degenerate first-order identification problem
• Semigroups of linear operators and applications to partial differential equations
• Some perturbation results for analytic semigroups
• Singular perturbation and boundary layer for an abstract Cauchy problem
• An identification problem for first-order degenerate differential equations
• Analyticity for some degenerate one-dimensional evolution equations
• Analytic semigroups and optimal regularity in parabolic problems
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