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Sobolev Maps to the Circle

mathematics. By contrast, the study of manifold-valued Sobolev maps is relatively new. The incentive to explore these spaces arose in the last forty;

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Nonlinear Potential Theory and Weighted Sobolev Spaces

The book systematically develops the nonlinear potential theory connected with the weighted Sobolev spaces, where the weight usually;

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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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Almost Global Solutions of Capillary Gravity Water Waves Equations on the Circle

normal forms-based procedure is used, eliminating those contributions to the Sobolev energy that are of lower degree of homogeneity in the;

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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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Planar Maps Random Walks and Circle Packing

of finite planar maps and the almost sure recurrence of simple random walks on these limits. One of its main goals is to present a self-contained;

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Regularity of Optimal Transport Maps and Applications

In this thesis, we study the regularity of optimal transport maps and its applications to the semi-geostrophic system. The first two;

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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

. 'Several surprising phenomena appear when studying Sobolev spaces on manifolds,' according to the author. 'Questions that are elementary for;

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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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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 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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Inversion Theory and Conformal Mapping

two are those generated by similarities and inversions in spheres. This is in stark contrast to the wealth of conformal maps in the plane;

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Cambridge Tracts in Mathematics

maps, minimal surfaces, holomorphic maps and Abelian integrals viewed as maps to a circle. The theory of such maps has been extensively;

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A First Course in Sobolev Spaces

Lipschitz domains. It then moves to distributions, Fourier transforms and tempered distributions. The remaining chapters are a treatise on Sobolev;

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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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Renormalization and 3-Manifolds Which Fiber over the Circle (AM-142), Volume 142

, and yields quantitative counterparts to Mostow rigidity. In complex dynamics, it motivates the construction of towers of quadratic-like maps;

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

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Anatomie Pozymy

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Letters to the Home Circle

Federal army that occupied much of eastern North Carolina. Clapp's letters to family and friends describe life in the Union army and conditions;

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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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The Laplace Equation

This book is devoted to boundary value problems of the Laplace equation on bounded and unbounded Lipschitz domains. It studies the;

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The Laplace Equation

This book is devoted to boundary value problems of the Laplace equation on bounded and unbounded Lipschitz domains. It studies the;

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Circle of Fire - The Story of the USS Susquehanna in the War of the Rebellion

Confederate blockade runners and commerce raiders to bombarding Rebel shore fortifications - the Susquehanna's tale is based on contemporary records;

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Partial Differential Equations III

The third of three volumes on partial differential equations, this is devoted to nonlinear PDE. It treats a number of equations;

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Weakly Differentiable Functions

of functions comprises what is now known as Sobolev spaces, though its origin, traceable to the early 1900s, predates the contributions by Sobolev;

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Circle of Grace

us in every moment. Blessings help us to perceive this circle of grace, to find our place of belonging within it, and to receive the strength;

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