On the sensitivity of solutions of hyperbolic

DOI10.1080/03605309608821190zbMath0853.35063OpenAlexW1972393088MaRDI QIDQ4881610

Gang Bao, William W. Symes

Publication date: 12 January 1997

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309608821190

zbMATH Keywords

nonsmooth microlocal analysis

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Second-order hyperbolic equations (35L10)

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Cites Work

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• Propagation and interaction of singularities in nonlinear hyperbolic problems
• Trace regularity for second order hyperbolic equation with nonsmooth coefficients
• Fourier integral operators. I
• A trace theorem for solutions of the wave equation, and the remote determination of acoustic sources
• Uniqueness and continuous dependence for a multidimensional hyperbolic inverse problem
• On the Relation between Coefficient and Boundary Values for Solutions of Webster’s Horn Equation
• A Linearised inverse problem for the wave equation
• Propagation of singularities for hyperbolic pseudo differential operators with non-smooth coefficients
• A trace theorem for solutions of linear partial differential equations
• Time-Like Trace Regularity of the Wave Equation with a Nonsmooth Principal Part
• On the uniquencess of a multidimensional hyperbolic inverse problem

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