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Flows of Non-Smooth Vector Fields and Degenerate Elliptic Equations

The first part of the book is devoted to the transport equation for a given vector field, exploiting the lagrangian structure of solutions;

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Local And Global Aspects Of Quasilinear Degenerate Elliptic Equations

This book is devoted to the study of elliptic second-order degenerate quasilinear equations, the model of which is the p-Laplacian, with or;

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Probabilistic methods of investigating interior smoothness of harmonic functions associated with degenerate elliptic operators

The lectures concentrate on some old and new relations between quasiderivatives of solutions to Ito stochastic equations and interior;

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Elliptic, Hyperbolic And Mixed Complex Equations With Parabolic Degeneracy

connected domains posed by L Bers, and the existence, regularity of solutions of the above problems for mixed equations with non-smooth degenerate;

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Completeness of Root Functions of Regular Differential Operators

systematically with the general non-selfadjoint problems in mechanics and physics. It deals mainly with bounded domains with smooth boundaries, but also;

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Generalized Difference Methods for Differential Equations

This text presents a comprehensive mathematical theory for elliptic, parabolic, and hyperbolic differential equations. It compares finite;

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Semigroups of Bounded Operators and Second-Order Elliptic and Parabolic Partial Differential Equations

to elliptic and parabolic equations with bounded and smooth coefficients. The book will highlight the connections between these equations and;

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Moving Interfaces and Quasilinear Parabolic Evolution Equations

interfaces. It includes an in-depth study of abstract quasilinear parabolic evolution equations, elliptic and parabolic boundary value problems;

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Stochastic Differential Equations And Applications

differential equations; elliptic and parabolic partial differential equations and their relations to stochastic differential equations; the Cameron;

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Relative Optimization of Continuous-Time and Continuous-State Stochastic Systems

following distinguishing features: long-run average with no under-selectivity, non-smooth value functions with no viscosity solutions, diffusion;

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Relative Optimization of Continuous-Time and Continuous-State Stochastic Systems

following distinguishing features: long-run average with no under-selectivity, non-smooth value functions with no viscosity solutions, diffusion;

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Strongly Elliptic Systems and Boundary Integral Equations

first detailed exposition of the mathematical theory of boundary integral equations of the first kind on non-smooth domains. Included are;

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Strongly Elliptic Systems and Boundary Integral Equations

first detailed exposition of the mathematical theory of boundary integral equations of the first kind on non-smooth domains. Included are;

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Morse Theory Of Gradient Flows, Concavity And Complexity On Manifolds With Boundary

structures and constructions in the book fit comfortably in the framework of Morse Theory and, more generally, of the Singularity Theory of smooth;

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Smooth Invariant Manifolds And Normal Forms

unstable local manifolds and the recent advancements in the theory of finitely smooth normal forms of vector fields and diffeomorphisms in the;

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Degenerate Diffusion Operators Arising In Population Biology

Epstein and Rafe Mazzeo use an integral kernel method to develop mathematical foundations for the study of such degenerate elliptic operators;

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Degenerate Diffusion Operators Arising in Population Biology (AM-185)

Epstein and Rafe Mazzeo use an integral kernel method to develop mathematical foundations for the study of such degenerate elliptic operators;

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Applications of Vector Analysis and Complex Variables in Engineering

mathematical proofs. Applications of Vector Analysis and Complex Variables in Engineering explains the mathematical principles in a manner suitable for;

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Applications of Vector Analysis and Complex Variables in Engineering

mathematical proofs. Applications of Vector Analysis and Complex Variables in Engineering explains the mathematical principles in a manner suitable for;

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Finite Element Methods and Their Applications

differential equations, i.e., elliptic, parabolic, and hyperbolic equations.;

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Variational Techniques for Elliptic Partial Differential Equations

Variational Techniques for Elliptic Partial Differential Equations, intended for graduate students studying applied math, analysis, and/or;

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Variational Techniques for Elliptic Partial Differential Equations

Variational Techniques for Elliptic Partial Differential Equations, intended for graduate students studying applied math, analysis, and/or;

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Evolution Equations

; periodic solutions of impulsive evolution equations; non-linear spectral theory and controllability of semi-linear evolution equations; uniform;

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Introduction to Fluid Dynamics

undergraduates and graduate students of mathematics and engineering. Some familiarity with the algebra of vector fields is assumed, and a useful appendix;

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Focus on Evolution Equations

This book presents high-quality research on the theory and methods of linear or non-linear evolution equations as well as their further;

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Singular Solutions of Nonlinear Elliptic and Parabolic Equations

This monograph looks at several trends in the investigation of singular solutions of nonlinear elliptic and parabolic equations. It;

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Progress in Partial Differential Equations

and systems (scattering, symmetrisers) * Non-linear wave models (global existence, decay estimates, blow-up) * Evolution equations (control;

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