Beyond Partial Differential Equations : On Linear and Quasi-Linear Abstract Hyperbolic Evolution Equations
The present volume is self-contained and introduces to the treatment of linear and nonlinear (quasi-linear) abstract evolution equations by methods from the theory of strongly continuous semigroups. The theoretical part is accessible to graduate students with basic knowledge in functional analysis....
Guardat en:
| Autor principal: | |
|---|---|
| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edició: | 1st ed. 2007. |
| Col·lecció: | Lecture Notes in Mathematics
1898 |
| Matèries: | |
| Accés en línia: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
L'impression du document génère 298 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Beyond partial differential equations, on linear and quasi-linear abstract hyperbolic evolution equations, Horst Reinhard Beyer, 2007, Berlin, Springer, 1 vol. (XIV-283 p.), Lecture notes in mathematics, 3-540-71128-7 |
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| 100 | 1 | |a Beyer, Horst Reinhard. | |
| 245 | 1 | 0 | |a Beyond Partial Differential Equations : |b On Linear and Quasi-Linear Abstract Hyperbolic Evolution Equations |c Horst Reinhard Beyer. |
| 250 | |a 1st ed. 2007. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture Notes in Mathematics |v 1898 |x 1617-9692 | |
| 500 | |a L'impression du document génère 298 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a Conventions Mathematical Introduction Prerequisites Strongly Continuous Semigroups Examples of Generators of Strongly Continuous Semigroups Intertwining Relations, Operator Homomorphisms Examples of Constrained Systems Kernels, Chains, and Evolution Operators The Linear Evolution Equation Examples of Linear Evolution Equations The Quasi-Linear Evolution Equation Examples of Quasi-Linear Evolution Equations | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a The present volume is self-contained and introduces to the treatment of linear and nonlinear (quasi-linear) abstract evolution equations by methods from the theory of strongly continuous semigroups. The theoretical part is accessible to graduate students with basic knowledge in functional analysis. Only some examples require more specialized knowledge from the spectral theory of linear, self-adjoint operators in Hilbert spaces. Particular stress is on equations of the hyperbolic type since considerably less often treated in the literature. Also, evolution equations from fundamental physics need to be compatible with the theory of special relativity and therefore are of hyperbolic type. Throughout, detailed applications are given to hyperbolic partial differential equations occurring in problems of current theoretical physics, in particular to Hermitian hyperbolic systems. This volume is thus also of interest to readers from theoretical physics | ||
| 650 | |a Théorie des opérateurs | ||
| 650 | |a Semigroupes d'opérateurs | ||
| 650 | |a Équations aux dérivées partielles linéaires | ||
| 650 | |a Équations aux dérivées partielles | ||
| 650 | |a Mathématiques | ||
| 776 | 0 | |0 114103585 |t Beyond partial differential equations |o on linear and quasi-linear abstract hyperbolic evolution equations |f Horst Reinhard Beyer |d 2007 |c Berlin |n Springer |p 1 vol. (XIV-283 p.) |s Lecture notes in mathematics |z 3-540-71128-7 | |
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