Infinite Time Blow-up Solutions to the Energy Critical Wave Maps Equation

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ISBN 13 : 9781470474454
Total Pages : 0 pages
Book Rating : 4.5X/5 ( download)

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Book Synopsis Infinite Time Blow-up Solutions to the Energy Critical Wave Maps Equation by : Mohandas Pillai

Download or read book Infinite Time Blow-up Solutions to the Energy Critical Wave Maps Equation written by Mohandas Pillai and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Infinite Time Blow-Up Solutions to the Energy Critical Wave Maps Equation

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Publisher : American Mathematical Society
ISBN 13 : 1470459930
Total Pages : 254 pages
Book Rating : 4.32/5 ( download)

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Book Synopsis Infinite Time Blow-Up Solutions to the Energy Critical Wave Maps Equation by : Mohandas Pillai

Download or read book Infinite Time Blow-Up Solutions to the Energy Critical Wave Maps Equation written by Mohandas Pillai and published by American Mathematical Society. This book was released on 2023-04-07 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Concentration Compactness for Critical Wave Maps

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Publisher : European Mathematical Society
ISBN 13 : 9783037191064
Total Pages : 494 pages
Book Rating : 4.66/5 ( download)

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Book Synopsis Concentration Compactness for Critical Wave Maps by : Joachim Krieger

Download or read book Concentration Compactness for Critical Wave Maps written by Joachim Krieger and published by European Mathematical Society. This book was released on 2012 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wave maps are the simplest wave equations taking their values in a Riemannian manifold $(M,g)$. Their Lagrangian is the same as for the scalar equation, the only difference being that lengths are measured with respect to the metric $g$. By Noether's theorem, symmetries of the Lagrangian imply conservation laws for wave maps, such as conservation of energy. In coordinates, wave maps are given by a system of semilinear wave equations. Over the past 20 years important methods have emerged which address the problem of local and global wellposedness of this system. Due to weak dispersive effects, wave maps defined on Minkowski spaces of low dimensions, such as $\mathbb R^{2+1}_{t,x}$, present particular technical difficulties. This class of wave maps has the additional important feature of being energy critical, which refers to the fact that the energy scales exactly like the equation. Around 2000 Daniel Tataru and Terence Tao, building on earlier work of Klainerman-Machedon, proved that smooth data of small energy lead to global smooth solutions for wave maps from 2+1 dimensions into target manifolds satisfying some natural conditions. In contrast, for large data, singularities may occur in finite time for $M =\mathbb S^2$ as target. This monograph establishes that for $\mathbb H$ as target the wave map evolution of any smooth data exists globally as a smooth function. While the authors restrict themselves to the hyperbolic plane as target the implementation of the concentration-compactness method, the most challenging piece of this exposition, yields more detailed information on the solution. This monograph will be of interest to experts in nonlinear dispersive equations, in particular to those working on geometric evolution equations.

Smooth Homotopy of Infinite-Dimensional $C^{infty }$-Manifolds

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Publisher : American Mathematical Society
ISBN 13 : 1470465426
Total Pages : 144 pages
Book Rating : 4.21/5 ( download)

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Book Synopsis Smooth Homotopy of Infinite-Dimensional $C^{infty }$-Manifolds by : Hiroshi Kihara

Download or read book Smooth Homotopy of Infinite-Dimensional $C^{infty }$-Manifolds written by Hiroshi Kihara and published by American Mathematical Society. This book was released on 2023-09-27 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Eigenfunctions of Transfer Operators and Automorphic Forms for Hecke Triangle Groups of Infinite Covolume

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Publisher : American Mathematical Society
ISBN 13 : 1470465450
Total Pages : 186 pages
Book Rating : 4.52/5 ( download)

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Book Synopsis Eigenfunctions of Transfer Operators and Automorphic Forms for Hecke Triangle Groups of Infinite Covolume by : Roelof Bruggeman

Download or read book Eigenfunctions of Transfer Operators and Automorphic Forms for Hecke Triangle Groups of Infinite Covolume written by Roelof Bruggeman and published by American Mathematical Society. This book was released on 2023-07-31 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

On Medium-Rank Lie Primitive and Maximal Subgroups of Exceptional Groups of Lie Type

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Publisher : American Mathematical Society
ISBN 13 : 147046702X
Total Pages : 226 pages
Book Rating : 4.29/5 ( download)

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Book Synopsis On Medium-Rank Lie Primitive and Maximal Subgroups of Exceptional Groups of Lie Type by : David A. Craven

Download or read book On Medium-Rank Lie Primitive and Maximal Subgroups of Exceptional Groups of Lie Type written by David A. Craven and published by American Mathematical Society. This book was released on 2023-09-15 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Analyticity Results in Bernoulli Percolation

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Publisher : American Mathematical Society
ISBN 13 : 1470467054
Total Pages : 114 pages
Book Rating : 4.50/5 ( download)

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Book Synopsis Analyticity Results in Bernoulli Percolation by : Agelos Georgakopoulos

Download or read book Analyticity Results in Bernoulli Percolation written by Agelos Georgakopoulos and published by American Mathematical Society. This book was released on 2023-09-15 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Percolation on Triangulations: A Bijective Path to Liouville Quantum Gravity

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Publisher : American Mathematical Society
ISBN 13 : 1470466996
Total Pages : 188 pages
Book Rating : 4.92/5 ( download)

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Book Synopsis Percolation on Triangulations: A Bijective Path to Liouville Quantum Gravity by : Olivier Bernardi

Download or read book Percolation on Triangulations: A Bijective Path to Liouville Quantum Gravity written by Olivier Bernardi and published by American Mathematical Society. This book was released on 2023-09-27 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Proper Equivariant Stable Homotopy Theory

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Publisher : American Mathematical Society
ISBN 13 : 1470467046
Total Pages : 154 pages
Book Rating : 4.43/5 ( download)

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Book Synopsis Proper Equivariant Stable Homotopy Theory by : Dieter Degrijse

Download or read book Proper Equivariant Stable Homotopy Theory written by Dieter Degrijse and published by American Mathematical Society. This book was released on 2023-09-15 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Purity and Separation for Oriented Matroids

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Publisher : American Mathematical Society
ISBN 13 : 1470467003
Total Pages : 92 pages
Book Rating : 4.05/5 ( download)

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Book Synopsis Purity and Separation for Oriented Matroids by : Pavel Galashin

Download or read book Purity and Separation for Oriented Matroids written by Pavel Galashin and published by American Mathematical Society. This book was released on 2023-09-27 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.