Global small solutions of the cauchy problem for a semilinear system of equations of thermoelasticity

For a semilinear system of equations of thermoelasticity, we establish a theorem on the existence and uniqueness of global solutions in a multidimensional space under the condition that the initial data are sufficiently small. We also obtain estimates for the decrease of solutions as time increases.

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Bibliographische Detailangaben
Datum:2000
Hauptverfasser: Botsenyuk, А. N., Боценюк, О. М.
Format: Artikel
Sprache:Ukrainisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2000
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/4435
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal