Hyperbolic Problems and Regularity Questions

Abstract

Some Applications of a Closed-form Solution for Compound Options of Order N.- Surjective Linear Partial Differential Operators with Variable Coefficients on Non-quasianalytic Classes of Roumieu Type.- The Fundamental Solution for a Second Order Weakly Hyperbolic Cauchy problem.- Pseudoholomorphic Discs Attached to Pseudoconcave Domains.- Vorticity and Regularity for Solutions of Initial-boundary Value Problems for the Navier-Stokes Equations.- Exponential Decay and Regularity for SG-elliptic Operators with Polynomial Coefficients.- A Short Description of Kinetic Models for Chemotaxis.- Eigenvalues, Eigenfunctions in Domains Becoming Unbounded.- Loss of Derivatives for t?? in Strictly Hyperbolic Cauchy Problems.- On the Operator Splitting Method: Nonlinear Balance Laws and a Generalization of Trotter-Kato Formulas.- Subelliptic Estimates for some Systems of Complex Vector Fields.- Approximate Solutions to the 2-D Unsteady Navier-Stokes System with Free Surface.- Time Decay Estimates of Solutions for Wave Equations with Variable Coefficients.- On Weakly Pseudoconcave CR Manifolds.- A Note on Kohn's and Christ's Examples.- On the Nonstationary Two-dimensional Navier-Stokes Problem in Domains with Strip-like Outlets to Infinity.- A Link between Local Solvability and Partial Analyticity of Several Classes of Degenerate Parabolic Operators.- The Solution of the Equation with .- On Schauder Estimates for the Evolution Generalized Stokes Problem.- Local Analyticity and Nonlinear Vector Fields.- Strongly Hyperbolic Complex Systems Reduced Dimension, Hermitian Systems.