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Hyperbolic Problems and Regularity Questions

  • Conference proceedings
  • © 2007

Overview

Editors:
  1. Mariarosaria Padula

    1. Dipartimento di Matematica, Università di Ferrara via Machiavelli, Ferrara, Italy

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  2. Luisa Zanghirati

    1. Dipartimento di Matematica, Università di Ferrara via Machiavelli, Ferrara, Italy

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • Originating from a recent conference focusing on hyperbolic problems and regularity questions
  • Contains study of singularities at boundaries, regularity in time for fluid flows, analytical regularity for nonlinear hypoelliptic equations, among others
  • Includes supplementary material: sn.pub/extras

Part of the book series: Trends in Mathematics (TM)

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Table of contents (21 papers)

  1. Front Matter

    Pages i-vii
    Download chapter PDF

  2. Some Applications of a Closed-form Solution for Compound Options of Order N

    • Rossella Agliardi
    Pages 1-6

  3. Surjective Linear Partial Differential Operators with Variable Coefficients on Non-quasianalytic Classes of Roumieu Type

    • Angela A. Albanese
    Pages 7-16

  4. The Fundamental Solution for a Second Order Weakly Hyperbolic Cauchy problem

    • Alessia Ascanelli, Massimo Cicognani
    Pages 17-25

  5. Pseudoholomorphic Discs Attached to Pseudoconcave Domains

    • Luca Baracco, Anna Siano, Giuseppe Zampieri
    Pages 27-37

  6. Vorticity and Regularity for Solutions of Initial-boundary Value Problems for the Navier—Stokes Equations

    • Hugo Beirão da Veiga
    Pages 39-47

  7. Exponential Decay and Regularity for SG-elliptic Operators with Polynomial Coefficients

    • Marco Cappiello, Todor Gramchev, Luigi Rodino
    Pages 49-58

  8. A Short Description of Kinetic Models for Chemotaxis

    • Fabio A.C.C. Chalub, José Francisco Rodrigues
    Pages 59-68

  9. Eigenvalues, Eigenfunctions in Domains Becoming Unbounded

    • Michel Chipot, Abdellah Elfanni, Arnaud Rougirel
    Pages 69-78

  10. Loss of Derivatives for t→∞ in Strictly Hyperbolic Cauchy Problems

    • Ferruccio Colombini
    Pages 79-89

  11. On the Operator Splitting Method: Nonlinear Balance Laws and a Generalization of Trotter-Kato Formulas

    • Rinaldo M. Colombo, Andrea Corli
    Pages 91-100

  12. Subelliptic Estimates for some Systems of Complex Vector Fields

    • Makhlouf Derridj
    Pages 101-108

  13. Approximate Solutions to the 2-D Unsteady Navier-Stokes System with Free Surface

    • Marcello Guidorzi, Mariarosaria Padula
    Pages 109-119

  14. Time Decay Estimates of Solutions for Wave Equations with Variable Coefficients

    • Kunihiko Kajitani
    Pages 121-136

  15. On Weakly Pseudoconcave CR Manifolds

    • Mauro Nacinovich
    Pages 137-150

  16. A Note on Kohn’s and Christ’s Examples

    • Cesare Parenti, Alberto Parmeggiani
    Pages 151-158

  17. On the Nonstationary Two-dimensional Navier-Stokes Problem in Domains with Strip-like Outlets to Infinity

    • Konstantin Pileckas
    Pages 159-171

  18. A Link between Local Solvability and Partial Analyticity of Several Classes of Degenerate Parabolic Operators

    • Petar R. Popivanov
    Pages 173-183

  19. The Solution of the Equation \( div \underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{w} = p \in L^2 (\mathbb{R}^m ) \) with \( \underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{w} \in H_0^{1,2} (\mathbb{R}^m )^m \)

    • Remigio Russo, Christian G. Simader
    Pages 185-195

  20. On Schauder Estimates for the Evolution Generalized Stokes Problem

    • Vsevolod A. Solonnikov
    Pages 197-205
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Keywords

About this book

This book discusses new challenges in the quickly developing field of hyperbolic problems. Particular emphasis lies on the interaction between nonlinear partial differential equations, functional analysis and applied analysis as well as mechanics.

The book originates from a recent conference focusing on hyperbolic problems and regularity questions. It is intended for researchers in functional analysis, PDE, fluid dynamics and differential geometry.

Reviews

From the reviews:

“This book presents the proceedings of a conference in 2004 in Ferrara, Italy, with contributions from distinguished experts in the field of hyperbolic partial differential equations and regularity analysis. … The volume provides a state of the art review for researchers in functional analysis, partial differential equations, fluid dynamics as well as applications of differential geometry.” (G. Hörmann, Monatshefte für Mathematik, Vol. 156 (4), April, 2009)

Editors and Affiliations

  • Dipartimento di Matematica, Università di Ferrara via Machiavelli, Ferrara, Italy

    Mariarosaria Padula, Luisa Zanghirati

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