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Softcover ISBN:  9780821834480 
Product Code:  CONM/362 
List Price:  $130.00 
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AMS Member Price:  $104.00 
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Product Code:  CONM/362.E 
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Softcover ISBN:  9780821834480 
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Product Code:  CONM/362.B 
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Book DetailsContemporary MathematicsVolume: 362; 2004; 410 ppMSC: Primary 05; 35; 58
This collection of articles from the Proceedings of the PanAmerican Advanced Studies Institute reflects recent developments in partial differential equations, nonlinear analysis and inverse problems.
Interactions among these topics have produced remarkable developments over the last couple of decades. This volume contains survey articles reflecting the work of leading experts who presented minicourses at the event. Contributors include J. Busca, Y. Capdeboscq, M.S. Vogelius, F. A. Grünbaum, L. F. Matusevich, M. de Hoop, and P. Kuchment.
The volume is suitable for graduate students and researchers interested in partial differential equations and their applications in nonlinear analysis and inverse problems.
ReadershipGraduate students and research mathematicians interested in partial differential equations and their applications in nonlinear analysis and inverse problems.

Table of Contents

Articles

Tuncay Aktosun — Inverse scattering on the line with incomplete scattering data [ MR 2091487 ]

Mark S. Ashbaugh — On universal inequalities for the low eigenvalues of the buckling problem [ MR 2091488 ]

John Baras, Carlos Berenstein and Franklin Gavilánez — Continuous and discrete inverse conductivity problems [ MR 2091489 ]

Rafael D. Benguria and Michael Loss — Connection between the LiebThirring conjecture for Schrödinger operators and an isoperimetric problem for ovals on the plane [ MR 2091490 ]

Jérôme Busca — An introduction to PDE methods in finance [ MR 2091491 ]

Yves Capdeboscq and Michael S. Vogelius — A review of some recent work on impedance imaging for inhomogeneities of low volume fraction [ MR 2091492 ]

Fabio A. C. C. Chalub and Jorge P. Zubelli — Matrix bispectrality and Huygens’ principle for Dirac operators [ MR 2091493 ]

A. J. Corcho and F. Linares — Wellposedness for the SchrödingerDebye equation [ MR 2091494 ]

A. Dall’Acqua and G. Sweers — On domains for which the clamped plate system is positivity preserving [ MR 2091495 ]

Marco Di Francesco and Peter A. Markowich — Entropy dissipation and Wasserstein metric methods for the viscous Burgers’ equation: convergence to diffusive waves [ MR 2091496 ]

Jean Dolbeault, David Kinderlehrer and Michał Kowalczyk — Remarks about the flashing rachet [ MR 2091497 ]

Nassif Ghoussoub and Robert J. McCann — A least action principle for steepest descent in a nonconvex landscape [ MR 2091498 ]

F. Alberto Grünbaum and Laura Felicia Matusevich — A network tomography problem related to the hypercube [ MR 2091659 ]

Andrew Hassell and Jared Wunsch — On the structure of the Schrödinger propagator [ MR 2091660 ]

Maarten V. de Hoop — The downward continuation approach to modeling and inverse scattering of seismic data in the Kirchhoff approximation [ MR 2091661 ]

Michał Kowalczyk — Approximate invariant manifold of the AllenCahn flow in two dimensions [ MR 2091662 ]

Peter Kuchment — On some spectral problems of mathematical physics [ MR 2091663 ]

Matti Lassas, Lassi Päivärinta and Eero Saksman — Inverse problem for a random potential [ MR 2091664 ]

Rafe Mazzeo — Pseudodifferential analysis for the Laplacian on noncompact symmetric spaces [ MR 2091665 ]

Gerardo A. Mendoza — Boundary structure and cohomology of $b$complex manifolds [ MR 2091666 ]

Gen Nakamura, Gunther Uhlmann and JennNan Wang — Unique continuation property for elliptic systems and crack determination in anisotropic elasticity [ MR 2091667 ]

Manuel del Pino, Jean Dolbeault and Monica Musso — Duality in subsupercritical bubbling in the BrezisNirenberg problem near the critical exponent [ MR 2091668 ]

Fernando Reitich — Highorder domain variations in boundary value and free boundary problems [ MR 2091669 ]

Antônio Sá Barreto — Radiation fields and inverse scattering on asymptotically Euclidean manifolds [ MR 2091670 ]

Claudia Timofte and Carlos Conca — Interactive oscillation sources in Signorini’s type problems [ MR 2091671 ]

Ricardo Weder — Inverse scattering with timeperiodic potentials [ MR 2091672 ]

Rudi Weikard — A local BorgMarchenko theorem for difference equations with complex coefficients [ MR 2091673 ]


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This collection of articles from the Proceedings of the PanAmerican Advanced Studies Institute reflects recent developments in partial differential equations, nonlinear analysis and inverse problems.
Interactions among these topics have produced remarkable developments over the last couple of decades. This volume contains survey articles reflecting the work of leading experts who presented minicourses at the event. Contributors include J. Busca, Y. Capdeboscq, M.S. Vogelius, F. A. Grünbaum, L. F. Matusevich, M. de Hoop, and P. Kuchment.
The volume is suitable for graduate students and researchers interested in partial differential equations and their applications in nonlinear analysis and inverse problems.
Graduate students and research mathematicians interested in partial differential equations and their applications in nonlinear analysis and inverse problems.

Articles

Tuncay Aktosun — Inverse scattering on the line with incomplete scattering data [ MR 2091487 ]

Mark S. Ashbaugh — On universal inequalities for the low eigenvalues of the buckling problem [ MR 2091488 ]

John Baras, Carlos Berenstein and Franklin Gavilánez — Continuous and discrete inverse conductivity problems [ MR 2091489 ]

Rafael D. Benguria and Michael Loss — Connection between the LiebThirring conjecture for Schrödinger operators and an isoperimetric problem for ovals on the plane [ MR 2091490 ]

Jérôme Busca — An introduction to PDE methods in finance [ MR 2091491 ]

Yves Capdeboscq and Michael S. Vogelius — A review of some recent work on impedance imaging for inhomogeneities of low volume fraction [ MR 2091492 ]

Fabio A. C. C. Chalub and Jorge P. Zubelli — Matrix bispectrality and Huygens’ principle for Dirac operators [ MR 2091493 ]

A. J. Corcho and F. Linares — Wellposedness for the SchrödingerDebye equation [ MR 2091494 ]

A. Dall’Acqua and G. Sweers — On domains for which the clamped plate system is positivity preserving [ MR 2091495 ]

Marco Di Francesco and Peter A. Markowich — Entropy dissipation and Wasserstein metric methods for the viscous Burgers’ equation: convergence to diffusive waves [ MR 2091496 ]

Jean Dolbeault, David Kinderlehrer and Michał Kowalczyk — Remarks about the flashing rachet [ MR 2091497 ]

Nassif Ghoussoub and Robert J. McCann — A least action principle for steepest descent in a nonconvex landscape [ MR 2091498 ]

F. Alberto Grünbaum and Laura Felicia Matusevich — A network tomography problem related to the hypercube [ MR 2091659 ]

Andrew Hassell and Jared Wunsch — On the structure of the Schrödinger propagator [ MR 2091660 ]

Maarten V. de Hoop — The downward continuation approach to modeling and inverse scattering of seismic data in the Kirchhoff approximation [ MR 2091661 ]

Michał Kowalczyk — Approximate invariant manifold of the AllenCahn flow in two dimensions [ MR 2091662 ]

Peter Kuchment — On some spectral problems of mathematical physics [ MR 2091663 ]

Matti Lassas, Lassi Päivärinta and Eero Saksman — Inverse problem for a random potential [ MR 2091664 ]

Rafe Mazzeo — Pseudodifferential analysis for the Laplacian on noncompact symmetric spaces [ MR 2091665 ]

Gerardo A. Mendoza — Boundary structure and cohomology of $b$complex manifolds [ MR 2091666 ]

Gen Nakamura, Gunther Uhlmann and JennNan Wang — Unique continuation property for elliptic systems and crack determination in anisotropic elasticity [ MR 2091667 ]

Manuel del Pino, Jean Dolbeault and Monica Musso — Duality in subsupercritical bubbling in the BrezisNirenberg problem near the critical exponent [ MR 2091668 ]

Fernando Reitich — Highorder domain variations in boundary value and free boundary problems [ MR 2091669 ]

Antônio Sá Barreto — Radiation fields and inverse scattering on asymptotically Euclidean manifolds [ MR 2091670 ]

Claudia Timofte and Carlos Conca — Interactive oscillation sources in Signorini’s type problems [ MR 2091671 ]

Ricardo Weder — Inverse scattering with timeperiodic potentials [ MR 2091672 ]

Rudi Weikard — A local BorgMarchenko theorem for difference equations with complex coefficients [ MR 2091673 ]