1.

Record Nr.

UNISA996466416103316

Autore

Seifert Christian

Titolo

Evolutionary equations : Picard's theorem for partial differential equations, and applications / / Christian Seifert, Sascha Trostorff, Marcus Waurick

Pubbl/distr/stampa

Cham, : Springer Nature, 2022

Cham : , : Springer International Publishing AG, , 2022

©2022

ISBN

3-030-89397-9

Descrizione fisica

1 online resource (321 pages)

Collana

Operator theory, advances and applications ; v.287

Altri autori (Persone)

TrostorffSascha <1984->

WaurickMarcus

Soggetti

Differential equations

Equacions d'evolució

Equacions en derivades parcials

Llibres electrònics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

Introduction -- Unbounded Operators -- The Time Derivative -- Ordinary Differential Equations -- The Fourier-Laplace Transformation and Material Law Operators -- Solution Theory for Evolutionary Equations -- Examples of Evolutionary Equations -- Causality and a Theorem of Paley and Wiener -- Initial Value Problems and Extrapolation Spaces -- Differential Algebraic Equations -- Exponential Stability of Evolutionary Equations -- Boundary Value Problems and Boundary Value Spaces -- Continuous Dependence on the Coefficients I -- Continuous Dependence on the Coefficients II

Sommario/riassunto

This open access book provides a solution theory for time-dependent partial differential equations, which classically have not been accessible by a unified method. Instead of using sophisticated techniques and methods, the approach is elementary in the sense that only Hilbert space methods and some basic theory of complex analysis are required. Nevertheless, key properties of solutions can be recovered in an elegant manner. Moreover, the strength of this method is



demonstrated by a large variety of examples, showing the applicability of the approach of evolutionary equations in various fields. Additionally, a quantitative theory for evolutionary equations is developed. The text is self-contained, providing an excellent source for a first study on evolutionary equations and a decent guide to the available literature on this subject, thus bridging the gap to state-of-the-art mathematical research.

2.

Record Nr.

UNINA9910779926203321

Autore

Rubinstein Ariel

Titolo

The economics and language : five essays / / Ariel Rubinstein [[electronic resource]]

Pubbl/distr/stampa

Cambridge : , : Cambridge University Press, , 2000

ISBN

1-107-11442-X

0-511-11677-2

0-511-05437-8

0-511-15226-4

0-511-32495-2

1-280-15323-7

0-511-49235-9

0-521-78990-7

Descrizione fisica

1 online resource (viii, 128 pages) : digital, PDF file(s)

Collana

Churchill lectures in economics

Disciplina

330/.01/4

Soggetti

Economics - Language

Game theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

; pt. 1. Economics of Language -- Economics and language. ; 1. Choosing the semantic properties of language. ; 2. Evolution gives meaning to language. ; 3. Strategic considerations in pragmatics -- ; pt. 2. Language of Economics. ; 4. Decision making and language. ; 5. On the rhetoric of game theory -- ; pt. 3. Comments / Johan van Benthem, Tilman Borgers and Barton Lipman.



Sommario/riassunto

Arising out of the author's lifetime fascination with the links between the formal language of mathematical models and natural language, this short book comprises five essays investigating both the economics of language and the language of economics. Ariel Rubinstein touches the structure imposed on binary relations in daily language, the evolutionary development of the meaning of words, game-theoretical considerations of pragmatics, the language of economic agents and the rhetoric of game theory. These short essays are full of challenging ideas for social scientists that should help to encourage a fundamental rethinking of many of the underlying assumptions in economic theory and game theory. As a postscript two economists, Tilman Borgers (University College London) and Bart Lipman (University of Wisconsin, Madison), and a logician, Johan van Benthem (University of Amsterdam, Institute for Logic, Language and Computation and Stanford University, Center for the Study of Language and Information) offer comments.

3.

Record Nr.

UNINA990008977720403321

Titolo

Informatica oggi : La rivista di elaborazione dati e telematica

Pubbl/distr/stampa

Milano, : Gruppo Editoriale Jackson

ISSN

0392-8888

Lingua di pubblicazione

Italiano

Formato

Materiale a stampa

Livello bibliografico

Periodico