Author: Florent J. Bureau
Publisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 120
Book Description
The Cauchy Problem for Partial Differential Equations of the Second Order and the Method of Ascent
Author: Florent J. Bureau
Publisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 120
Book Description
Publisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 120
Book Description
Analytic Theory of Differential Equations
Author: P. F. Hsieh
Publisher: Springer
ISBN: 3540364544
Category : Mathematics
Languages : en
Pages : 234
Book Description
Publisher: Springer
ISBN: 3540364544
Category : Mathematics
Languages : en
Pages : 234
Book Description
U.S. Government Research Reports
Technical Abstract Bulletin
Author: Defense Documentation Center (U.S.)
Publisher:
ISBN:
Category : Military art and science
Languages : en
Pages : 1540
Book Description
Publisher:
ISBN:
Category : Military art and science
Languages : en
Pages : 1540
Book Description
Lectures on Cauchy's Problem in Linear Partial Differential Equations
Author: Jacques Hadamard
Publisher:
ISBN:
Category : Cauchy problem
Languages : en
Pages : 336
Book Description
Publisher:
ISBN:
Category : Cauchy problem
Languages : en
Pages : 336
Book Description
Improperly Posed Problems in Partial Differential Equations
Author: L. E. Payne
Publisher: SIAM
ISBN: 9781611970463
Category : Mathematics
Languages : en
Pages : 81
Book Description
Improperly posed Cauchy problems are the primary topics in this discussion which assumes that the geometry and coefficients of the equations are known precisely. Appropriate references are made to other classes of improperly posed problems. The contents include straight forward examples of methods eigenfunction, quasireversibility, logarithmic convexity, Lagrange identity, and weighted energy used in treating improperly posed Cauchy problems. The Cauchy problem for a class of second order operator equations is examined as is the question of determining explicit stability inequalities for solving the Cauchy problem for elliptic equations. Among other things, an example with improperly posed perturbed and unperturbed problems is discussed and concavity methods are used to investigate finite escape time for classes of operator equations.
Publisher: SIAM
ISBN: 9781611970463
Category : Mathematics
Languages : en
Pages : 81
Book Description
Improperly posed Cauchy problems are the primary topics in this discussion which assumes that the geometry and coefficients of the equations are known precisely. Appropriate references are made to other classes of improperly posed problems. The contents include straight forward examples of methods eigenfunction, quasireversibility, logarithmic convexity, Lagrange identity, and weighted energy used in treating improperly posed Cauchy problems. The Cauchy problem for a class of second order operator equations is examined as is the question of determining explicit stability inequalities for solving the Cauchy problem for elliptic equations. Among other things, an example with improperly posed perturbed and unperturbed problems is discussed and concavity methods are used to investigate finite escape time for classes of operator equations.
Partial Differential Equations of Second Order
Author: Mirosław Krzyżański
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 570
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 570
Book Description
Problems and Methods in Partial Differential Equations
Author: F. J. Bureau
Publisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 180
Book Description
Publisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 180
Book Description
Air Force Scientific Research Bibliography
Vector-valued Laplace Transforms and Cauchy Problems
Author: Wolfgang Arendt
Publisher: Springer Science & Business Media
ISBN: 3034800878
Category : Mathematics
Languages : en
Pages : 540
Book Description
This monograph gives a systematic account of the theory of vector-valued Laplace transforms, ranging from representation theory to Tauberian theorems. In parallel, the theory of linear Cauchy problems and semigroups of operators is developed completely in the spirit of Laplace transforms. Existence and uniqueness, regularity, approximation and above all asymptotic behaviour of solutions are studied. Diverse applications to partial differential equations are given. The book contains an introduction to the Bochner integral and several appendices on background material. It is addressed to students and researchers interested in evolution equations, Laplace and Fourier transforms, and functional analysis. The second edition contains detailed notes on the developments in the last decade. They include, for instance, a new characterization of well-posedness of abstract wave equations in Hilbert space due to M. Crouzeix. Moreover new quantitative results on asymptotic behaviour of Laplace transforms have been added. The references are updated and some errors have been corrected.
Publisher: Springer Science & Business Media
ISBN: 3034800878
Category : Mathematics
Languages : en
Pages : 540
Book Description
This monograph gives a systematic account of the theory of vector-valued Laplace transforms, ranging from representation theory to Tauberian theorems. In parallel, the theory of linear Cauchy problems and semigroups of operators is developed completely in the spirit of Laplace transforms. Existence and uniqueness, regularity, approximation and above all asymptotic behaviour of solutions are studied. Diverse applications to partial differential equations are given. The book contains an introduction to the Bochner integral and several appendices on background material. It is addressed to students and researchers interested in evolution equations, Laplace and Fourier transforms, and functional analysis. The second edition contains detailed notes on the developments in the last decade. They include, for instance, a new characterization of well-posedness of abstract wave equations in Hilbert space due to M. Crouzeix. Moreover new quantitative results on asymptotic behaviour of Laplace transforms have been added. The references are updated and some errors have been corrected.