![L [sup] p boundedness of Fourier integral operators](https://covers.openlibrary.org/b/isbn/0821822640-M.jpg?default=false)
"The aim of this paper is to present existence theorems for the mixed problem for a certain class of hyperbolic operators with boundary conditions. The subject was stimulated by S. Agmon's results (Les équations aux dérivées partielles (Paris, 1962)). He considered operators wit…
In multidimension, the Cauchy problem for a first order quadrilinear strictly hyperbolic system with a continuous data whose first derivatives are discontinuous on an hypersurface, is a free characteristic boundaries problem. We solve it locally in a blown-up configuration into …
We consider a system of n conservation laws: [partial derivative/boundary/degree of a polynomial symbol]∂u [over] [partial derivative/boundary/degree of a polynomial symbol]∂t + [partial derivative/boundary/degree of a polynomial symbol]∂f(u) [over] [partial derivative/boundary/…
We are interested in the time-asymptotic behavior of solutions to viscous conservation laws. Through the pointwise estimates for the Green's function of the linearized system and the analysis of coupling of nonlinear diffusion waves, we obtain explicit expressions of the time-as…
