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Elliptic Theory on Singular Manifolds
CRC Press 2005; US$ 139.95This much-needed book on elliptic theory provides a systematic exposition of both analytical and topological aspects of the theory of elliptical differential equations, a relatively new field that is often not addressed in detail. more...
Elliptic Theory and Noncommutative Geometry
Springer 2008; US$ 119.00The book deals with nonlocal elliptic differential operators. These are operators whose coefficients involve shifts generated by diffeomorphisms of the manifold on which the operators are defined. The main goal of the study is to relate analytical invariants (in particular, the index) of such operators to topological invariants of the manifold itself.... more...
Spectral Theory of Differential Operators
Elsevier Science 1981; US$ 223.00Spectral Theory of Differential Operators more...
Free Boundary Problems and Asymptotic Behavior of Singularly Perturbed Partial Differential Equations
Springer 2012; US$ 99.99This thesis is devoted to the study of the asymptotic behavior of singularly perturbed partial differential equations and some related free boundary problems arising from these two problems. We study the free boundary problems in the singulary limit and give some characterizations, and use this to study the dynamical behavior of competing species when... more...
Spectral Theory of Linear Differential Operators and Comparison Algebras
Cambridge University Press 1987; US$ 98.00The main aim of this book is to introduce the reader to the concept of comparison algebra, defined as a type of C*-algebra of singular integral operators. more...
Linear Partial Differential Operators in Gevrey Spaces
World Scientific Publishing Company 1993; US$ 128.00The book is devoted to new and classical results of the theory of linear partial differential operators in Gevrey spaces. The “microlocal approach” is adopted, by using pseudo-differential operators, wave front sets and Fourier integral operators.Basic results for Schwartz-distributions, c ∞ and analytic classes are also included,... more...
Oblique Derivative Problems for Elliptic Equations
World Scientific Publishing Company 2013; US$ 122.00This book gives an up-to-date exposition on the theory of oblique derivative problems for elliptic equations. The modern analysis of shock reflection was made possible by the theory of oblique derivative problems developed by the author. Such problems also arise in many other physical situations such as the shape of a capillary surface and problems... more...
Evolution Inclusions and Variation Inequalities for Earth Data Processing I
Springer 2010; US$ 99.99Here, the authors present modern mathematical methods to solve problems of differential-operator inclusions and evolution variation inequalities which may occur in fields such as geophysics, aerohydrodynamics, or fluid dynamics. For the first time, they describe the detailed generalization of various approaches to the analysis of fundamentally nonlinear... more...
Evolution Inclusions and Variation Inequalities for Earth Data Processing II
Springer 2010; US$ 99.99Here, the authors present modern mathematical methods to solve problems of differential-operator inclusions and evolution variation inequalities which may occur in fields such as geophysics, aerohydrodynamics, or fluid dynamics. For the first time, they describe the detailed generalization of various approaches to the analysis of fundamentally nonlinear... more...
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