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This is the second volume of Nonlinear Equations with Small Parameter containing new methods of construction of global asymptotics of solutions to non...Savoir plus
The book contains eleven chapters introduced by an introductory description. Qualitative properties for the semilinear dissipative wave equations are ...Savoir plus
The behavior of materials at the nanoscale is a key aspect of modern nanoscience and nanotechnology. This book presents rigorous mathematical techniqu...Savoir plus
This book presents a new degree theory for maps which commute with a group of symmetries. This degree is no longer a single integer but an element of ...Savoir plus
In the design of a neural network, either for biological modeling, cognitive simulation, numerical computation or engineering applications, it is impo...Savoir plus
In the last 40 years semi-linear elliptic equations became a central subject of study in the theory of nonlinear partial differential equations. On th...Savoir plus
This is the first part of the second revised and extended edition of the well established book "Function Spaces" by Alois Kufner, Oldrich John, and Sv...Savoir plus
Differential equations with impulses arise as models of many evolving processes that are subject to abrupt changes, such as shocks, harvesting, and na...Savoir plus
This monograph provides a thorough treatment of parameter-dependent extremal problems with local minimum values that remain unchanged under changes of...Savoir plus
The book is focused on physical interpretation and visualization of the obtained invariant solutions for nonlinear mathematical modeling of atmospheri...Savoir plus
No detailed description available for "Sobolev Spaces of Fractional Order, Nemytskij Operators, and Nonlinear Partial Differential Equations".Savoir plus
The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in var...Savoir plus
The theory of set-valued maps and of differential inclusion is developed in recent years both as a field of his own and as an approach to control theo...Savoir plus
The present book carefully studies the blow-up phenomenon of solutions to partial differential equations, including many equations of mathematical phy...Savoir plus
The monograph addresses some problems particularly with regard to ill-posedness of boundary value problems and problems where we cannot expect to have...Savoir plus
This book offers a comprehensive introduction to modern techniques in the study of free boundary problems of diffusive type. Applications of such meth...Savoir plus
Strongly coupled (or cross-diffusion) systems of parabolic and elliptic partial differential equations appear in many physical applications. This book...Savoir plus
This monograph aims to give a self-contained introduction into the whole field of topological analysis: Requiring essentially only basic knowledge of ...Savoir plus
Concentration compactness methods are applied to PDE's that lack compactness properties, typically due to the scaling invariance of the underlying pro...Savoir plus
In the past two decades, convex analysis and optimization have been developed in Hadamard spaces. This book represents a first attempt to give a syste...Savoir plus
Periodic differential equations appear in many contexts such as in the theory of nonlinear oscillators, in celestial mechanics, or in population dynam...Savoir plus
The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in var...Savoir plus