Partial Differential Equations and Inverse Problems: Pan-American Advanced Studies Institute on Partial Differential Equations, Nonlinear Analysis and Inverse Problems, January 6-18, 2003, Santiago, Chile, Том 362Carlos Conca American Mathematical Soc., 2004 - 410 стор. This proceedings volume is a collection of articles from the Pan-American Advanced Studies Institute on partial differential equations, nonlinear analysis and inverse problems held in Santiago (Chile). Interactions among partial differential equations, nonlinear analysis, and inverse problems 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. Grunbaum, 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. |
Зміст
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On Universal Inequalities for the Low Eingenvalues of the Buckling Problem | 13 |
Continuous and Discrete Inverse Conductivity Problems | 33 |
Connection between the LiebThirring Conjecture for Schrödinger Operators and an Isoperimetric Problem for Ovals on the Plane | 53 |
A Review of Some Recent Work on Impedance Imaging for Inhomogeneities of Low Volume Fraction | 69 |
Matrix Bispectrality and Huygens Principle for Dirac Operators | 89 |
WellPosedness for the SchrödingerDebye Equation | 113 |
On Domains for which the Clamped Plate System is Positivity Preserving | 133 |
A Network Tomography Problem Related to the Hypercube | 189 |
The Downward Continuation Approach to Modeling and Inverse Scattering of Seismic Data in the Kirchhoff Approximation | 211 |
On Some Spectral Problems of Mathematical Physics | 241 |
Inverse Problem for a Random Potential | 277 |
Pseudodifferential Analysis for the Laplacian on Noncompact Symmetric Spaces | 289 |
Unique Continuation Property for Elliptic Systems and Crack Determination in Anisotropic Elasticity | 321 |
Duality in SubSupercritical Bubbling in the BrezisNirenberg Problem near the Critical Exponent | 339 |
HighOrder Domain Variations in Boundary Value and Free Boundary Problems | 351 |
Convergence to Diffusive Waves | 145 |
Remarks about the Flashing Rachet | 167 |
A Least Action Principle for Steepest Descent in a NonConvex Landscape | 177 |
Interactive Oscillation Sources in Signorinis Type Problems | 381 |
A Local BorgMarchenko Theorem for Difference Equations with Complex Coefficients | 403 |
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Partial Differential Equations and Inverse Problems Carlos Conca Попередній перегляд недоступний - 2004 |
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