Stability Of Line Solitons For The Kp Ii Equation In R2
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Stability Of Line Solitons For The Kp Ii Equation In Mathbb R 2
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Author : Tetsu Mizumachi
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-10-27
Stability Of Line Solitons For The Kp Ii Equation In Mathbb R 2 written by Tetsu Mizumachi and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-27 with Mathematics categories.
The author proves nonlinear stability of line soliton solutions of the KP-II equation with respect to transverse perturbations that are exponentially localized as . He finds that the amplitude of the line soliton converges to that of the line soliton at initial time whereas jumps of the local phase shift of the crest propagate in a finite speed toward . The local amplitude and the phase shift of the crest of the line solitons are described by a system of 1D wave equations with diffraction terms.
Stability Of Line Solitons For The Kp Ii Equation In R2
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Author : Tetsu Mizumachi
language : en
Publisher:
Release Date : 2015
Stability Of Line Solitons For The Kp Ii Equation In R2 written by Tetsu Mizumachi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Representations of algebras categories.
An Inverse Spectral Problem Related To The Geng Xue Two Component Peakon Equation
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Author : Hans Lundmark
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-10-05
An Inverse Spectral Problem Related To The Geng Xue Two Component Peakon Equation written by Hans Lundmark and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-05 with Mathematics categories.
The authors solve a spectral and an inverse spectral problem arising in the computation of peakon solutions to the two-component PDE derived by Geng and Xue as a generalization of the Novikov and Degasperis-Procesi equations. Like the spectral problems for those equations, this one is of a "discrete cubic string" type, but presents some interesting novel features.
Layer Potentials And Boundary Value Problems For Second Order Elliptic Operators With Data In Besov Spaces
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Author : Ariel Barton:
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-09-06
Layer Potentials And Boundary Value Problems For Second Order Elliptic Operators With Data In Besov Spaces written by Ariel Barton: and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-06 with Mathematics categories.
This monograph presents a comprehensive treatment of second order divergence form elliptic operators with bounded measurable t-independent coefficients in spaces of fractional smoothness, in Besov and weighted Lp classes. The authors establish: (1) Mapping properties for the double and single layer potentials, as well as the Newton potential; (2) Extrapolation-type solvability results: the fact that solvability of the Dirichlet or Neumann boundary value problem at any given Lp space automatically assures their solvability in an extended range of Besov spaces; (3) Well-posedness for the non-homogeneous boundary value problems. In particular, the authors prove well-posedness of the non-homogeneous Dirichlet problem with data in Besov spaces for operators with real, not necessarily symmetric, coefficients.
Descent Construction For Gspin Groups
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Author : Joseph Hundley
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-09-06
Descent Construction For Gspin Groups written by Joseph Hundley and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-06 with Mathematics categories.
In this paper the authors provide an extension of the theory of descent of Ginzburg-Rallis-Soudry to the context of essentially self-dual representations, that is, representations which are isomorphic to the twist of their own contragredient by some Hecke character. The authors' theory supplements the recent work of Asgari-Shahidi on the functorial lift from (split and quasisplit forms of) GSpin2n to GL2n.
Monoidal Categories And The Gerstenhaber Bracket In Hochschild Cohomology
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Author : Reiner Hermann:
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-09-06
Monoidal Categories And The Gerstenhaber Bracket In Hochschild Cohomology written by Reiner Hermann: and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-06 with Mathematics categories.
In this monograph, the author extends S. Schwede's exact sequence interpretation of the Gerstenhaber bracket in Hochschild cohomology to certain exact and monoidal categories. Therefore the author establishes an explicit description of an isomorphism by A. Neeman and V. Retakh, which links Ext-groups with fundamental groups of categories of extensions and relies on expressing the fundamental group of a (small) category by means of the associated Quillen groupoid. As a main result, the author shows that his construction behaves well with respect to structure preserving functors between exact monoidal categories. The author uses his main result to conclude, that the graded Lie bracket in Hochschild cohomology is an invariant under Morita equivalence. For quasi-triangular bialgebras, he further determines a significant part of the Lie bracket's kernel, and thereby proves a conjecture by L. Menichi. Along the way, the author introduces n-extension closed and entirely extension closed subcategories of abelian categories, and studies some of their properties.
Real Non Abelian Mixed Hodge Structures For Quasi Projective Varieties Formality And Splitting
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Author : J. P. Pridham
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-09-06
Real Non Abelian Mixed Hodge Structures For Quasi Projective Varieties Formality And Splitting written by J. P. Pridham and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-06 with Mathematics categories.
The author defines and constructs mixed Hodge structures on real schematic homotopy types of complex quasi-projective varieties, giving mixed Hodge structures on their homotopy groups and pro-algebraic fundamental groups. The author also shows that these split on tensoring with the ring R[x] equipped with the Hodge filtration given by powers of (x−i), giving new results even for simply connected varieties. The mixed Hodge structures can thus be recovered from the Gysin spectral sequence of cohomology groups of local systems, together with the monodromy action at the Archimedean place. As the basepoint varies, these structures all become real variations of mixed Hodge structure.
Carleman Estimates Observability Inequalities And Null Controllability For Interior Degenerate Nonsmooth Parabolic Equations
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Author : Genni Fragnelli
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-06-21
Carleman Estimates Observability Inequalities And Null Controllability For Interior Degenerate Nonsmooth Parabolic Equations written by Genni Fragnelli and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-21 with Mathematics categories.
The authors consider a parabolic problem with degeneracy in the interior of the spatial domain, and they focus on observability results through Carleman estimates for the associated adjoint problem. The novelties of the present paper are two. First, the coefficient of the leading operator only belongs to a Sobolev space. Second, the degeneracy point is allowed to lie even in the interior of the control region, so that no previous result can be adapted to this situation; however, different cases can be handled, and new controllability results are established as a consequence.
The Local Structure Theorem For Finite Groups With A Large P Subgroup
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Author : U. Meierfrankenfeld
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-06-21
The Local Structure Theorem For Finite Groups With A Large P Subgroup written by U. Meierfrankenfeld and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-21 with Mathematics categories.
Let p be a prime, G a finite Kp-group S a Sylow p-subgroup of G and Q a large subgroup of G in S (i.e., CG(Q)≤Q and NG(U)≤NG(Q) for 1≠U≤CG(Q)). Let L be any subgroup of G with S≤L, Op(L)≠1 and Q⋬L. In this paper the authors determine the action of L on the largest elementary abelian normal p-reduced p-subgroup YL of L.
Nil Bohr Sets And Almost Automorphy Of Higher Order
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Author : Wen Huang
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-04-26
Nil Bohr Sets And Almost Automorphy Of Higher Order written by Wen Huang and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-26 with Mathematics categories.
Two closely related topics, higher order Bohr sets and higher order almost automorphy, are investigated in this paper. Both of them are related to nilsystems. In the first part, the problem which can be viewed as the higher order version of an old question concerning Bohr sets is studied: for any d∈N does the collection of {n∈Z:S∩(S−n)∩…∩(S−dn)≠∅} with S syndetic coincide with that of Nild Bohr0 -sets? In the second part, the notion of d -step almost automorphic systems with d∈N∪{∞} is introduced and investigated, which is the generalization of the classical almost automorphic ones.