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Beyond Sobolev and Besov

of solutions in Besov and fractional Sobolev spaces. In particular, it studies regularity estimates of PDEs of elliptic, parabolic and hyperbolic type;

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The Laplace Equation

problems. It also examines different solutions - classical, in Sobolev spaces, in Besov spaces, in homogeneous Sobolev spaces and in the sense;

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The Laplace Equation

problems. It also examines different solutions - classical, in Sobolev spaces, in Besov spaces, in homogeneous Sobolev spaces and in the sense;

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A First Course in Sobolev Spaces

advanced undergraduate course in functions of one variable and one for a graduate course on Sobolev functions. The first part develops the theory;

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Envelopes and Sharp Embeddings of Function Spaces

simple tools for the study of classical and more complicated spaces, such as Besov and Triebel-Lizorkin types, in limiting situations. This;

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Envelopes and Sharp Embeddings of Function Spaces

simple tools for the study of classical and more complicated spaces, such as Besov and Triebel-Lizorkin types, in limiting situations. This;

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Theory of Besov Spaces

This is a self-contained textbook of the theory of Besov spaces and Triebel-Lizorkin spaces oriented toward applications to partial;

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General Parabolic Mixed Order Systems in Lp and Applications

problems. We show well-posedness in Lp-Lq-Sobolev spaces in time and space for the linear problems (i.e., maximal regularity) which is the key step;

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Elliptic Boundary Value Problems with Fractional Regularity Data

upper half-space with coefficients independent of the transversal variable and with boundary data in fractional Hardy-Sobolev and Besov spaces;

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Nonlinear Potential Theory and Weighted Sobolev Spaces

Sobolev space theory covers results concerning approximation, extension, and interpolation, Sobolev and Poincare inequalities, Maz'ya type;

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Around the Research of Vladimir Maz'ya I

The fundamental contributions of Professor Maz'ya to the theory of function spaces and especially Sobolev spaces are well known and often;

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Sobolev Inequalities, Heat Kernels under Ricci Flow, and the Poincare Conjecture

Focusing on Sobolev inequalities and their applications to analysis on manifolds and Ricci flow, Sobolev Inequalities, Heat Kernels under;

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Inequalities Based on Sobolev Representations

types and of integral means, all of which depend upon the Sobolev integral representations of functions. Applications illustrate inequalities;

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Sobolev Spaces

Sobolev Spaces presents an introduction to the theory of Sobolev Spaces and other related spaces of function, also to the imbedding;

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Nonlinear Analysis on Manifolds

problems for compact manifolds are discussed in Chapters 4 and 5.Chapter 6 presents special types of Sobolev inequalities under constraints. Best;

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Sobolev Maps to the Circle

The theory of real-valued Sobolev functions is a classical part of analysis and has a wide range of applications in pure and applied;

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Sobolev Spaces On Metric Measure Spaces

in diverse and potentially nonsmooth settings. Based on the fundamental concept of upper gradient, the notion of a Sobolev function was formulated;

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Differentiable Functions On Bad Domains

is also paid to counter examples showing, in particular, the difference between Sobolev spaces of the first and higher orders. A considerable part;

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Linear and Quasilinear Parabolic Problems: Volume II: Function Spaces

in the literature. In particular, it develops a unified theory of anisotropic Besov and Bessel potential spaces on Euclidean corners, with;

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Anatomie Pozymy

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Aspects Of Sobolev-Type Inequalities

This book, first published in 2001, focuses on Poincare, Nash and other Sobolev-type inequalities and their applications to the Laplace and;

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Essays on Fourier Analysis in Honor of Elias M. Stein (PMS-42)

, removable sets for Sobolev spaces in the plane, nonlinear dispersive equations, bilinear operators and renormalization, holomorphic functions on;

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The Development of an E-Commerce Model in the Luxury Industry

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Green's Functions and Boundary Value Problems

* Overview of Sobolev and Besov space linear * Methods for nonlinear equations * Applications to nonlinear elliptic equations In addition, various;

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Q Analysis on Euclidean Spaces

Starting with the fundamentals of Q spaces and their relationships to Besov spaces, this book presents all major results around Q spaces;

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Essays on Fourier Analysis in Honor of Elias M. Stein (PMS-42)

, removable sets for Sobolev spaces in the plane, nonlinear dispersive equations, bilinear operators and renormalization, holomorphic functions on;

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Strichartz Estimates and the Cauchy Problem for the Gravity Water Waves Equations

formulation of the water waves equations, using microlocal analysis to obtain sharp Sobolev and Holder estimates. The authors first prove tame;

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