Download or read book B cklund and Darboux Transformations written by A. A. Coley and published by American Mathematical Soc.. This book was released on 2001 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to a classical topic that has undergone rapid and fruitful development over the past 25 years, namely Backlund and Darboux transformations and their applications in the theory of integrable systems, also known as soliton theory. The book consists of two parts. The first is a series of introductory pedagogical lectures presented by leading experts in the field. They are devoted respectively to Backlund transformations of Painleve equations, to the dressing methodand Backlund and Darboux transformations, and to the classical geometry of Backlund transformations and their applications to soliton theory. The second part contains original contributions that represent new developments in the theory and applications of these transformations. Both the introductorylectures and the original talks were presented at an International Workshop that took place in Halifax, Nova Scotia (Canada). This volume covers virtually all recent developments in the theory and applications of Backlund and Darboux transformations.
Download or read book Recent Mathematical Methods in Nonlinear Wave Propagation written by Guy Boillat and published by Springer. This book was released on 2006-11-14 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lecture notes of the courses presented at the first CIME session 1994 by leading scientists present the state of the art in recent mathematical methods in Nonlinear Wave Propagation.
Download or read book Integrable Systems and Algebraic Geometry written by Ron Donagi and published by Cambridge University Press. This book was released on 2020-04-02 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.
Download or read book M moire written by and published by . This book was released on 2006 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Bulletin de la Soci t mathematique de France written by and published by . This book was released on 2006 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Proceedings written by and published by . This book was released on 2006 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Boundary Cohomology of Shimura Varieties III written by Michael Harris and published by . This book was released on 2001 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, the authors complete the verification of the following fact: The nerve spectral sequence for the cohomology of the Borel-Serre boundary of a Shimura variety $\mathrm{Sh}$ is a spectral sequence of mixed Hodge-de Rham structures over the field of definition of its canonical model. To achieve that, they develop the machinery of automorphic vector bundles on mixed Shimura varieties, for the latter enter in the boundary of the toroidal compactifications of $\mathrm{Sh}$; and study the nerve spectral sequence for the automorphic vector bundles and the toroidal boundary. They also extend the technique of averting issues of base-change by taking cohomology with growth conditions. They give and apply formulas for the Hodge gradation of the cohomology of both $\mathrm{Sh}$ and its Borel-Serre boundary.
Download or read book Mathematical Reviews written by and published by . This book was released on 1997 with total page 922 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On Mapping Properties of the General Relativistic Constraints Operator in Weighted Function Spaces with Applications written by Piotr T. Chruściel and published by . This book was released on 2003 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, the authors prove perturbation and gluing results for solutions of the general relativistic constraints with controlled boundary behavior or asymptotic behavior. This is obtained by a study of the linearized equation in weighted spaces a la Corvino-Schoen. Among other methods, this can be used to prove existence of non-trivial asymptotically simple vacuum space-times. The book is suitable for graduate students and research mathematicians interested in analysis.
Download or read book Annales Scientifiques de L cole Normale Sup rieure written by and published by . This book was released on 2003 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Moderate and Formal Cohomology Associated with Constructible Sheaves written by 柏原正樹 and published by . This book was released on 1996 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: On a complex manifold $X$, the authors construct the functors $\cdot \otimes^{\mathrm{w}}\mathcal O_X$ and $Thom (\cdot, \mathcal O_X)$ of formal and moderate cohomology from the category of $\mathbb R$-constructible sheaves to that of $\mathcal D_X$-modules. This construction allows for functorial and unified treatment of $C^{\infty}$ functions, distributions, formal completion, and local algebraic cohomology. The behavior of these functors under the usual operations on $\mathcal D$-modules is systematically studied, and adjunction formulas for correspondences of complex manifolds are obtained. This theory provides a natural tool to treat integral transformations with growth conditions such as Radon, Poisson, and Laplace transforms.
Download or read book Non Linear Hyperbolic Fields and Waves written by Circolo matematico di Palermo and published by . This book was released on 2006 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Noninvariant Base Change Identities written by Jean-Pierre Labesse and published by . This book was released on 1995 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Albanese and Picard 1 motives written by Luca Barbieri-Viale and published by . This book was released on 2001 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gives a nice summary of current work in the theory of 1-motives. The authors present the following: Let $X$ be an $n$-dimensional algebraic variety over a field of characteristic zero. They describe algebraically defined Deligne $1$-motives $\mathrm{Alb}^{+} (X)$, $\mathrm{Alb}^{-} (X)$, $\mathrm{Pic}^{+} (X)$ and $\mathrm{Pic}^{-} (X)$ which generalize the classical Albanese and Picard varieties of a smooth projective variety. Computed are Hodge, $\ell$-adic, and De Rham realizations, proving Deligne's conjecture for $H^{2n-1}$, $H_{2n-1}$, $H^1$ and $H_1$. Investigated are functoriality, universality, homotopical invariance and invariance under formation of projective bundles. The authors compare the cohomological and homological $1$-motives for normal schemes. For proper schemes, they obtain an Abel-Jacobi map from Albanese $1$-motive, which is the universal regular homomorphism to semi-abelian varieties. By using this universal property, they obtain motivic Gysin maps for projective local complete intersection morphisms. The volume is suitable for advanced graduate students and researchers interested in algebraic geometry.
Download or read book Algebraic Study of Systems of Partial Differential Equations written by Masaki Kashiwara and published by . This book was released on 1995 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Study of the Betaplane Model written by Isabelle Gallagher and published by . This book was released on 2006 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors are interested in a model of rotating fluids, describing the motion of the ocean in the equatorial zone. This model is known as the Saint-Venant, or shallow-water type system, to which a rotation term is added whose amplitude is linear with respect to the latitude; in particular it vanishes at the equator. After a physical introduction to the model, the authors describe the various waves involved and study in detail the resonances associated to those waves. They then exhibit the formal limit system (as the rotation becomes large), obtained as usual by filtering out the waves, and prove its wellposedness. Finally they prove three types of convergence results: a weak convergence result towards a linear, geostrophic equation, a strong convergence result of the filtered solutions towards the unique strong solution to the limit system, and a ``hybrid'' strong convergence result of the filtered solutions towards a weak solution to the limit system. In particular the authors obtain that there are no confined equatorial waves in the mean motion as the rotation becomes large.
Download or read book Coefficient Systems and Supersingular Representations of GL2 F written by Vytautas Paskunas and published by . This book was released on 2004 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let $F$ be a non-Archimedean local field with the residual characteristic $p$. The author constructs a good number of smooth irreducible $\overline {\mathbf {F}}_p$-representations of $\mathrm {GL}_2(F)$, which are supersingular in the sense of Barthel and Livne. If $F=\mathbf {Q}_p$ then results of Breuil imply that our construction gives all the supersingular representations up to the twist by an unramified quasi-character. The author conjectures that this is true for an arbitrary $F$. The book is suitable for graduate students and research mathematicians interested in algebra and algebraic geometry.
