Książka - szczegóły

CONTENTS
1. Introduction....................................................................................................................................................5
2. Notations and preliminaries .........................................................................................................................11
 2.1. Function spaces and spaces of distributions............................................................................................11
 2.2. Perturbations of linear operators.............................................................................................................20
 2.3. Properties of matrices..............................................................................................................................24
3. A boundary value problem for a linear hyperbolic system of the first order in a halfspace...........................26
 3.1. Assumptions.............................................................................................................................................27
 3.2. Construction of a symmetrizer..................................................................................................................31
 3.3. An estimate of a solution of the boundary value problem (3.1)-(3.2) in $L²_{η}-norm$............................57
 3.4. An estimate of a solution of the problem formally adjoint to (3.1)-(3.2) in $L²_{-η}-norm$.......................85
 3.5. Existence and uniqueness of solution of the boundary value problem (3.1)-(3.2)....................................91
 3.6. An estimate of a solution of the Cauchy problem for system (3.1) in $H^{s}_{η}$-norm...........................95
4. A mixed problem for a system of linear hyperbolic equations of the first order in a halfspace....................101
 4.1. A mixed problem with nonzero initial condition........................................................................................101
 4.2. A mixed problem with zero initial condition..............................................................................................127
5. A mixed problem for a system of linear hyperbolic equations of the first order in a bounded domain.........128
6. A mixed problem for a nonlinear system of hyperbolic equations of the first order.....................................141
References....................................................................................................................................................145