The Malliavin Calculus and Related Topics
In Chapter 1, the derivative and divergence operators are introduced in the framework of an isonormal Gaussian process associated ...
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The Method of Intrinsic Scaling : A Systematic Approach to Regularity for Degenerate and Singular PDEs
This set of lectures, which had its origin in a mini course delivered at the Summer Program of IMPA (Rio de Janeiro), is ...
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The Painlevé Handbook
This book introduces the reader to methods allowing one to build explicit solutions to these equations. A prerequisite task ...
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Thermal Processes Using Attosecond Laser Pulses
This book contains a study of the thermal processes initiated by attosecond laser pulses. Considering the existence of the ...
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Topics on Concentration Phenomena and Problems with Multiple Scales
This volume includes lecture notes devoted to the asymptotic analysis of such problems when the multi-scale behaviour derives ...
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Topological Degree Approach to Bifurcation Problems
Topological bifurcation theory is one of the most essential topics in mathematics. This book contains original bifurcation ...
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Transport Equations and Multi-D Hyperbolic Conservation Laws
The theory of nonlinear hyperbolic equations in several space dimensions has recently obtained remarkable achievements thanks ...
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Transport Equations in Biology
The book contains many ex- ples without mathematical analysis.In some other cases complete mathematical proofs are detailed, ...
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Trends in Partial Differential Equations of Mathematical Physics
Vsevolod Alekseevich Solonnikov is known as one of the outstanding mathematicians from the St Petersburg Mathematical School. ...
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Two Algebraic Byways from Differential Equations: Gröbner Bases and Quivers
This edited volume presents a fascinating collection of lecture notes focusing on differential equations from two viewpoints: ...
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Universal Algebra
Universal Algebra, heralded as ". . . the standard reference in a field notorious for the lack of standardization . . .," ...
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Variational Analysis and Generalized Differentiation II
This monographs contains a comprehensive and and state-of-the art study of the basic concepts and principles of variational ...
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Variational Methods : Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems
The book gives a concise introduction to variational methods and presents an overview of areas of current research in the ...
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Variational Methods in Shape Optimization Problems
The study of shape optimization problems encompasses a wide spectrum of academic research with numerous applications to the ...
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Variational and Potential Methods for a Class of Linear Hyperbolic Evolutionary Processes
The book presents variational methods combined with boundary integral equation techniques in application to a model of dynamic ...
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Vortices in the Magnetic Ginzburg-Landau Model
This text presents complete and mathematically rigorous versions of both results either already known by physicists or applied ...
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Wave Propagation and Time Reversal in Randomly Layered Media
Wave propagation in random media is an interdisciplinary field that has emerged from the need in physics and engineering ...
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Wave Propagation, Observation and Control in 1-d Flexible Multi-Structures
This volume presents a detailed study of partial differential equations on planar graphs modeling networked flexible mechanical ...
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Weighted Littlewood-Paley Theory and Exponential-Square Integrability
Littlewood-Paley theory is an essential tool of Fourier analysis, with applications and connections to PDEs, signal processing, ...
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