Partial Differential Equations and Inverse Problems.
Conca, Carlos.
Partial Differential Equations and Inverse Problems. - 1st ed. - 1 online resource (426 pages) - Contemporary Mathematics ; v.362 . - Contemporary Mathematics .
Intro -- Contents -- Preface -- List of Participants -- Inverse Scattering on the Line with Incomplete Scattering Data -- On Universal Inequalities for the Low Eingenvalues of the Buckling Problem -- Continuous and Discrete Inverse Conductivity Problems -- Connection between the Lieb-Thirring Conjecture for Schrödinger Operators and an Isoperimetric Problem for Ovals on the Plane -- An Introduction to PDE Methods in Finance -- A Review of Some Recent Work on Impedance Imaging for Inhomogeneities of Low Volume Fraction -- Matrix Bispectrality and Huygens' Principle for Dirac Operators -- 2. Construction of the AKNS and mKdV hierarchies -- 4. Special Solutions of the AKNS and mKdV Hierarchies -- 6. The Bispectral Property and Conclusions -- References -- Well-Posedness for the Schrödinger-Debye Equation -- On Domains for which the Clamped Plate System is Positivity Preserving -- Entropy Dissipation and Wasserstein Metric Methods for the Viscous Burgers' Equation: Convergence to Diffusive Waves -- Remarks about the Flashing Rachet -- A Least Action Principle for Steepest Descent in a Non-Convex Landscape -- A Network Tomography Problem Related to the Hypercube -- On the structure of the Schrodinger propagator -- The Downward Continuation Approach to Modeling and Inverse Scattering of Seismic Data in the Kirchhoff Approximation. -- Approximate invariant manifold of the Allen-Cahn flow in two dimensions -- On Some Spectral Problems of Mathematical Physics -- Inverse Problem for a Random Potential -- Pseudodifferential Analysis for the Laplacian on Noncompact Symmetric Spaces. -- Boundary structure and cohomology of b-complex manifolds -- Unique Continuation Property for Elliptic Systems and Crack Determination in Anisotropic Elasticity -- Duality in Sub-Supercritical Bubbling in the Brezis-Nirenberg Problem near the Critical Exponent. High-Order Domain Variations in Boundary Value and Free Boundary Problems -- Radiation Fields and Inverse Scattering on Asymptotically Euclidean Manifolds -- Interactive Oscillation Sources in Signorini's Type Problems -- Inverse Scattering with Time-Periodic Potentials -- A Local Borg-Marchenko Theorem for Difference Equations with Complex Coefficients.
9780821879528
Differential equations, Partial -- Congresses.
Inverse problems (Differential equations) -- Congresses.
Electronic books.
QA374 -- .P26 2003eb
515/.353
Partial Differential Equations and Inverse Problems. - 1st ed. - 1 online resource (426 pages) - Contemporary Mathematics ; v.362 . - Contemporary Mathematics .
Intro -- Contents -- Preface -- List of Participants -- Inverse Scattering on the Line with Incomplete Scattering Data -- On Universal Inequalities for the Low Eingenvalues of the Buckling Problem -- Continuous and Discrete Inverse Conductivity Problems -- Connection between the Lieb-Thirring Conjecture for Schrödinger Operators and an Isoperimetric Problem for Ovals on the Plane -- An Introduction to PDE Methods in Finance -- A Review of Some Recent Work on Impedance Imaging for Inhomogeneities of Low Volume Fraction -- Matrix Bispectrality and Huygens' Principle for Dirac Operators -- 2. Construction of the AKNS and mKdV hierarchies -- 4. Special Solutions of the AKNS and mKdV Hierarchies -- 6. The Bispectral Property and Conclusions -- References -- Well-Posedness for the Schrödinger-Debye Equation -- On Domains for which the Clamped Plate System is Positivity Preserving -- Entropy Dissipation and Wasserstein Metric Methods for the Viscous Burgers' Equation: Convergence to Diffusive Waves -- Remarks about the Flashing Rachet -- A Least Action Principle for Steepest Descent in a Non-Convex Landscape -- A Network Tomography Problem Related to the Hypercube -- On the structure of the Schrodinger propagator -- The Downward Continuation Approach to Modeling and Inverse Scattering of Seismic Data in the Kirchhoff Approximation. -- Approximate invariant manifold of the Allen-Cahn flow in two dimensions -- On Some Spectral Problems of Mathematical Physics -- Inverse Problem for a Random Potential -- Pseudodifferential Analysis for the Laplacian on Noncompact Symmetric Spaces. -- Boundary structure and cohomology of b-complex manifolds -- Unique Continuation Property for Elliptic Systems and Crack Determination in Anisotropic Elasticity -- Duality in Sub-Supercritical Bubbling in the Brezis-Nirenberg Problem near the Critical Exponent. High-Order Domain Variations in Boundary Value and Free Boundary Problems -- Radiation Fields and Inverse Scattering on Asymptotically Euclidean Manifolds -- Interactive Oscillation Sources in Signorini's Type Problems -- Inverse Scattering with Time-Periodic Potentials -- A Local Borg-Marchenko Theorem for Difference Equations with Complex Coefficients.
9780821879528
Differential equations, Partial -- Congresses.
Inverse problems (Differential equations) -- Congresses.
Electronic books.
QA374 -- .P26 2003eb
515/.353