Noncharacteristic mixed problems for hyperbolic systems of the first order

Ewa Zadrzyńska. Noncharacteristic mixed problems for hyperbolic systems of the first order. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1991. <http://eudml.org/doc/268579>.

@book{EwaZadrzyńska1991,
abstract = {CONTENTS1. Introduction....................................................................................................................................................52. 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..............................................................................................................................243. 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...........................954. 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..............................................................................................1275. A mixed problem for a system of linear hyperbolic equations of the first order in a bounded domain.........1286. A mixed problem for a nonlinear system of hyperbolic equations of the first order.....................................141References....................................................................................................................................................1451991 Mathematics Subject Classification: Primary 35L45, 35L50},
author = {Ewa Zadrzyńska},
keywords = {sufficient conditions; existence of unique solutions; linear systems; nonlinear systems},
language = {eng},
location = {Warszawa},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
title = {Noncharacteristic mixed problems for hyperbolic systems of the first order},
url = {http://eudml.org/doc/268579},
year = {1991},
}

TY - BOOK
AU - Ewa Zadrzyńska
TI - Noncharacteristic mixed problems for hyperbolic systems of the first order
PY - 1991
CY - Warszawa
PB - Instytut Matematyczny Polskiej Akademi Nauk
AB - CONTENTS1. Introduction....................................................................................................................................................52. 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..............................................................................................................................243. 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...........................954. 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..............................................................................................1275. A mixed problem for a system of linear hyperbolic equations of the first order in a bounded domain.........1286. A mixed problem for a nonlinear system of hyperbolic equations of the first order.....................................141References....................................................................................................................................................1451991 Mathematics Subject Classification: Primary 35L45, 35L50
LA - eng
KW - sufficient conditions; existence of unique solutions; linear systems; nonlinear systems
UR - http://eudml.org/doc/268579
ER -