A Banach space ODE framework for inverse scattering via invariant imbedding

DOI10.1016/0022-247X(86)90294-5zbMath0618.34055MaRDI QIDQ1822259

Yanyan Li

Publication date: 1986

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

uniquenesslocal existenceBanach spacecontinuous dependenceoperator differential equationdifferentiability of the solution

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Nonlinear differential equations in abstract spaces (34G20) Ordinary differential operators (34L99)

Related Items (3)

On some differential equations arising in time domain scattering problems for a dissipative wave equation ⋮ Heuristic regularization methods for numerical differentiation ⋮ Existence and construction of solutions of dissipative inverse problems

Cites Work

• Obtaining scattering kernels using invariant imbedding
• Direct and inverse scattering in the time domain via invariant imbedding equations
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
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