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Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems

This book presents a unified approach to studying the stability of both elliptic Cauchy problems and selected inverse problems. Based on;

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Differential and Integral Inequalities

analyzed in this book. Fundamental and recent developments are presented on the inequalities of Abel, Agarwal, Beckenbach, Bessel, Cauchy-Hadamard;

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Carleman Estimates and Applications to Uniqueness and Control Theory

applications to uniqueness and controlla­ bility of partial differential equations and systems. The main topics are unique continuation for elliptic;

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Geometric Properties for Parabolic and Elliptic PDE's

This book contains the contributions resulting from the 6th Italian-Japanese workshop on Geometric Properties for Parabolic and Elliptic;

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Regularization Algorithms for Ill-Posed Problems

is paid to ill-posed Cauchy problems for linear operator differential equations and to ill-posed variational inequalities and optimization;

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An Introduction to Variational Inequalities and Their Applications

typically with convex constraints) are carefully explained in An Introduction to Variational Inequalities and Their Applications. They are shown to;

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Applications of the Topological Derivative Method

of solutions to elliptic boundary value problems combined with mathematical programming tools. The book presents the first order topology design;

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Inverse Boundary Spectral Problems

sciences. However, the mathematical theory of inverse problems remains incomplete and needs further development to aid in the solution of many;

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Inverse Boundary Spectral Problems

sciences. However, the mathematical theory of inverse problems remains incomplete and needs further development to aid in the solution of many;

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Inequalities

This book is an introduction to basic topics in inequalities and their applications. These include the arithmetic mean-geometric mean;

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Global Bifurcation in Variational Inequalities

An up-to-date and unified treatment of bifurcation theory for variational inequalities in reflexive spaces and the use of the theory in a;

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Stable Solutions of Elliptic Partial Differential Equations

through the fine versions of the maximum principle, the standard regularity theory for linear elliptic equations, and the fundamental functional;

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Stable Solutions of Elliptic Partial Differential Equations

through the fine versions of the maximum principle, the standard regularity theory for linear elliptic equations, and the fundamental functional;

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Theory and Applications of Abstract Semilinear Cauchy Problems

theory, Hopf bifurcation, and normal form theory are established for abstract Cauchy problems with non-dense domain. Finally applications to;

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Weighted Inequalities of Hardy Type

operators, and some basic results about Hardy-type inequalities and their limit (Carleman-Knopp type) inequalities. It also describes some rather;

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An Introduction to Inverse Problems with Applications

and matrix algebra. If the reader has previously studied these prerequisites, then one can rapidly move to the inverse problems in chapters 4;

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Strongly Coupled Parabolic and Elliptic Systems

Strongly coupled (or cross-diffusion) systems of parabolic and elliptic partial differential equations appear in many physical applications;

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Nonlinear Analysis and Applications

Nonlinear Analysis and Applications is dedicated to Professor V. Lakshmikantham on the occasion of his 80th birthday. The volumes consist;

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Inverse Sturm-Liouville Problems & Their Applications

This book presents the main results and methods on inverse spectral problems for Sturm-Liouville differential operators and their;

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An Introduction to Data Analysis and Uncertainty Quantification for Inverse Problems

Inverse problems are found in many applications, such as medical imaging, engineering, astronomy, and geophysics, among others. To solve an;

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Cauchy Schwarz Master Class

means, majorization, Schur convexity, exponential sums, and the inequalities of Hoelder, Hilbert, and Hardy. The text is accessible to anyone;

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The Cauchy-Schwarz Master Class

means, majorization, Schur convexity, exponential sums, and the inequalities of Hoelder, Hilbert, and Hardy. The text is accessible to anyone;

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Computational Methods for Applied Inverse Problems

related to mathematics, physics, geophysics, geochemistry, oceanography, geography and remote sensing, astronomy, biomedicine, and other areas;

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Frontiers in Pde-Constrained Optimization

This volume provides a broad and uniform introduction of PDE-constrained optimization as well as to document a number of interesting and;

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Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials

Inequalities for polynomials and their derivatives are very important in many areas of mathematics, as well as in other computational;

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Inverse Problems in Engineering Mechanics III

problems are ill-posed and have to be overcome through development of new computational schemes, regularization techniques, objective functionals;

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Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane (PMS-48)

with partial differential equations and nonlinear analysis. It gives a thorough and modern approach to the classical theory and presents;

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