Explicit and approximate solutions of a class of evolution problems in hilbert space: Evolution problems in hilbert space

Explicit closed-form solutions for a class of first order evolution problems in a Hilbert space are presented. On the basis of these explicit representations we construct approximations adapted to the regularity of the initial data.

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Bibliographische Detailangaben
Veröffentlicht in:	Numerical functional analysis and optimization 1996-01, Vol.17 (1-2), p.65-75
Hauptverfasser:	Gavrilyuk, Ivan P., Makarov, Vladimir L.
Format:	Artikel
Sprache:	eng
Schlagworte:	Approximations and expansions Exact sciences and technology Mathematical analysis Mathematics Numerical analysis Numerical analysis in abstract spaces Numerical analysis. Scientific computation Partial differential equations Sciences and techniques of general use
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	Explicit closed-form solutions for a class of first order evolution problems in a Hilbert space are presented. On the basis of these explicit representations we construct approximations adapted to the regularity of the initial data.
ISSN:	0163-0563 1532-2467
DOI:	10.1080/01630569608816683