partial differential equations and applications Collected Papers in Honor of Carlo Pucci Lecture Notes in Pure and Applied Mathematics Series

Written as a tribute to the mathematician Carlo Pucci on the occasion of his 70th birthday, this is a collection of authoritative contributions from over 45 internationally acclaimed experts in the field of partial differential equations. Papers discuss a variety of topics such as problems where a partial differential equation is coupled with unfavourable boundary or initial conditions, and boundary value problems for partial differential equations of elliptic type.

Preface, Bibliography of Carlo Pucci, Contributors, 1. Spatial Decay Estimates for an Evolution Equation, 2. On the Range of Ural’tseva’s Axially Symmetric Operator in Sobolev Spaces ,3. The Use of “A Priori” Information in the Solution of Ill-Posed Problems, 4. Allocation Maps with General Cost Functions, 5. An Elementary Theorem in Plane Geometry and Its Multidimensional Extension. 6. Minimum Problems for Volumes of Convex Bodies, 7. On the Continuous Dependence of the Solution of a Linear Parabolic Partial Differential Equation on the Boundary Data and the Solution at an Interior Spatial Point ,8. Decomposability of Rectangular and Triangular Probability Distributions, 9. Nonlinear Infinite Networks with Nonsymmetric Resistances, 10. About a Singular Parabolic Equation Arising in Thin Film Dynamics and in the Ricci Flow for Complete IR2, 11. Altemating-Direction Iteration for the p- Version of the Finite Element Method, 12. An Integrodifferential Analog of Semilinear Parabolic PDE’s. 13. On Solutions of Mean Curvature Type Inequalities, 14. An Application of the Calculus of Variations to the Study of Optimal Foraging, 15. A Limit Model of a Soft Thin Joint, 16. Projective Invariants of Complete Intersections, 17. M-Hyperbolicity, Evenness, and Normality, 18. An Extended Variational Principle, 19. Instability Criteria for Solutions of Second Order Elliptic Quasilinear Differential Equations, 20. Maximum Principles for Difference Operators, 21. A Generic Uniqueness Result for the Stokes System and Its Control Theoretical Consequences, 22. On a Stefan Problem in a Concentrated Capacity, 23. Total Total Internal Reflection ,24. The Reflector Problem for Closed Surfaces, 25. Upper Bounds for Eigenvalues of Elliptic Operators, 26. Stability for Abstract Evolution Equations. 27. New Techniques in Critical Point Theory, 28. Detecting Underground Gas Sources, 29. Conservative Operators. 30. On the Regularization of the Antenna Synthesis Problem. 31. The Problem of Packaging .32. The First Digit Problem and Scale-Invariance. 33. Change of Variable in the SX-Integral, 34. The Minimum Energy Configuration of a Mixed-Material Column. 35. Convergence of Regularized Solutions of Nonlinear Ill-Posed Problems with Monotone Operators. Index

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Giorgio Talenti

Written as a tribute to the mathematician Carlo Pucci on the occasion of his seventieth birthday. Presents authoritative contributions from over 45 internationally acclaimed experts in the field of partial differential equations. Discusses a wide variety of topics such as problems where a partial differential equation is coupled with unfavorable boundary or initial conditions and boundary value problems for partial differential equations of elliptic type.