4 edition of **Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations (Operator Theory: Advances and Applications / Advances in Partial Differential Equations)** found in the catalog.

- 277 Want to read
- 18 Currently reading

Published
**January 12, 2004**
by Birkhäuser Basel
.

Written in English

- Differential equations,
- Mathematical Physics,
- Advanced,
- Mathematics,
- Science/Mathematics,
- Differential Equations - Partial Differential Equations,
- Mathematical Analysis,
- Functional Analysis,
- Mathematics / Mathematical Analysis,
- Operator Theory,
- Partial Differential Equations,
- Spectral Theory,
- Wavelets

**Edition Notes**

Contributions | Sergio Albeverio (Editor), Michael Demuth (Editor), Elmar Schrohe (Editor), Bert-Wolfgang Schulze (Editor) |

The Physical Object | |
---|---|

Format | Hardcover |

Number of Pages | 437 |

ID Numbers | |

Open Library | OL9089962M |

ISBN 10 | 3764321687 |

ISBN 10 | 9783764321680 |

Waves, Spectral Theory and Applications – Part 2: October 20thnd, We are pleased to announce a follow-up conference on Waves, Spectral Theory, and Applications. The conference will be centered on about 10 talks over three days given by mathematicians and scientists at various stages in their careers. In this paper, we consider a mixed problem for the nonlinear wave equations with transmission acoustic conditions, that is, the wave propagation over bodies consisting of .

from book Hyperbolic Problems: Theory, by a linear partial differential equation with nonlinear boundary conditions. the so-called freezing method for second order wave equations in one. We explain all details of the calculations and mathematical tools: Lagrangian and Hamiltonian formalism for the systems with finite degree of freedom and for fields, Geometric Optics, the Hamilton-Jacobi equation and WKB approximation, Noether theory of invariants including the theorem on currents, four conservation laws (energy, momentum.

This book is a reader-friendly, relatively short introduction to the modern theory of linear partial differential equations. An effort has been made to present complete proofs in an accessible and self-contained form. The first three chapters are on elementary distribution theory and Sobolev spaces with many examples and applications to equations with constant coefficients. We expose the Schrödinger quantum mechanics with traditional applications to Hydrogen atom. We discuss carefully the experimental and theoretical background for the introduction of the Schrödinger, Pauli and Dirac equations, as well as for the Maxwell equations. We explain in detail all basic theoretical concepts. We explain all details of the calculations .

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Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations A Volume of Advances in Partial Differential Equations. An Interpolation Family between Gabor and Wavelet Transformations. Bruno Nazaret, Matthias Holschneider. Grigori Rozenblum. Pages About this book.

Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations: A Volume of Advances in Partial Differential Equations (Operator Theory: Advances and Applications) rd Edition by Sergio Albeverio (Editor), Michael Demuth (Editor), Elmar Schrohe (Editor), Bert-Wolfgang Schulze (Editor) & 1 moreFormat: Hardcover.

Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations: A Volume of Advances in Partial Differential Equations P. Popivanov (auth.), Sergio Albeverio, Michael Demuth, Elmar Schrohe, Bert-Wolfgang Schulze (eds.) This volume focuses on recent developments in non-linear and hyperbolic equations.

Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations A Volume of Advances in Partial Differential Equations. Editors: Albeverio, S., Demuth, M.

Flaptekst: This volume focuses on recent developments in non-linear and hyperbolic equations. It will be a most valuable resource for Nonlinear Hyperbolic Equations in applied mathematics, the theory of wavelets, and in mathematical and theoretical physics. The book is the third volume of the subseries 'Advances in Partial Differential Equations'.

The book provides a quick overview of a wide range of active research areas in partial differential equations such as evolution equations and estimates for their solutions, control theory, inverse problems, nonlinear equations, elliptic theory on singular domains, numerical approaches.

Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations. Sergio Albeverio. 23 Oct Paperback. US$ Spectral Theory and Global Existence for Nonlinear Wave Equations with Localized Dissipations in General Exterior Domains.- Global Existence in the Cauchy Problem for Nonlinear Wave Equations with.

This short introduction to microlocal analysis is presented, in the spirit of Hörmander, in the classical framework of partial differential equations. This theory has important applications in areas such as harmonic and complex analysis, and also in theoretical physics.

Here Grigis and Sjöstrand emphasize the basic tools, especially the method of stationary phase, and they. This study aims to use the Taylor wavelet method to solve linear and nonlinear Lane-Emden equations.

An advantage of the method is the orthonormality. Abstract. This text deals with the singularities of the solutions of several classes of nonlinear partial differential equations and systems.

Applications of the results here obtained are given for the Monge—Ampère equation, for quasi-linear systems arising in fluid mechanics, and for some nonlinear integrodifferential equations useful in solid body mechanics in media with memory. Dreher, MLocal solutions to quasi-linear weakly hyperbolic differential equations.

in S Albeverio, M Demuth, E Schrohe & B-W Schulze (eds), Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations: A Volume of Advances in Partial Differential Equations. vol. Operator Theory: Advances and Applications, vol.

Get this from a library. Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations: a Volume of Advances in Partial Differential Equations.

[Sergio Albeverio; Michael Demuth; Elmar Schrohe; Bert-Wolfgang Schulze] -- This volume focuses on recent developments in non-linear and hyperbolic equations.

In the first contribution, the. Nonlinear hyperbolic equations, spectral theory, and wavelet transformations: a volume of advances in partial differential equations.

Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations. Advances in Partial Differential Equations 7.

In Operator Theory, Advances and Applications, Vol. Birkhäuser Verlag, Basel, (Editor together with S. Albeverio, E. Schrohe, B.-W.

Schulze) Aspects of Boundary Problems in Analysis and Geometry. We prove the orbital stability of periodic traveling-wave solutions for systems of dispersive equations with coupled nonlinear terms.

Our method is basically developed under two assumptions: one concerning the spectrum of the linearized operator around the traveling wave and another one concerning the existence of a conserved quantity with suitable properties.

Publisher Summary. This chapter discusses some results on the uniqueness of solutions to systems of conservation laws of the form U t + f (U) x = 0, –∞ nonlinear mapping from R n to R chapter presents the assumption that this equation is strictly hyperbolic, that is, the Jacobian ∇f of f has n real and distinct eigenvalues:.

In general theory of relativity the Einstein field equations (EFE; also known as Einstein's equations) relate the geometry of spacetime with the distribution of matter within it. The equations were first published by Einstein in in the form of a tensor equation which related the local spacetime curvature (expressed by the Einstein tensor) with the local energy.

Book Description. Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrödinger Equations shows how four types of higher-order nonlinear evolution partial differential equations (PDEs) have many commonalities through their special quasilinear degenerate representations.

The authors present a unified approach to deal with these quasilinear PDEs. In particular, we discuss such a result, jointly with Joachim Krieger, for the critical focusing nonlinear wave equation in three dimensions.

Keywords: orbital and asymptotic stability of stationary waves, Focusing NLS and NLW, spectral theory., criticality. The Table of Contents for the full book PDF is as follows: Preface. Part I Nonlinear Equations. General Methods. On the Rational Solutions of the Shabat Equation. Integration of Nonlinear Nonisospectral Difference-Differential Equations by Means of the Inverse Spectral Problem.

Analytical and Numerical Solutions of the Semiline Burgers Equation. Nonlinear Singular Schrödinger Type Equations, H. Lange, m. Poppenberg, H.

Teismann Non-Analytic Solutions of Nonlinear Wave Models, Y. A. Li, P. J. Olver, P. Rosenau The Dirichlet Problem and Compact Operators in Colombeau Theory, D. Scarpalezos Highly Oscillatory Shock Waves, Y. Wang Structure Theory.Equally important is their role in many applications to physics, for example, in quantum and spectral theory.

Key topics: * The Cauchy problem for linear and nonlinear hyperbolic equations * Scattering theory * Inverse problems * Hyperbolic systems * Gevrey regularity of solutions of PDEs * Analytic hypoellipticity.

and unique features.Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations: A Volume of Advances in Partial Differential Equations Birkhäuser Basel P.

R. Popivanov (auth.), Sergio Albeverio, Michael Demuth, Elmar Schrohe, Bert-Wolfgang Schulze (eds.).