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Polynomial Expansions of Solutions of Cauchy Problems That Involve One Space Variable

✍ Scribed by Louis R Bragg

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
322 KB
Volume
214
Category
Article
ISSN
0022-247X

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✦ Synopsis

Polynomial sets and polynomial expansion theorems are developed for solutions n Ž .

n m Ž . j Ž . j < of Cauchy problems of the form Ѩ u x, t rѨt s "D u x, t , Ѩ u x, t rѨt ts0 Ž . s x , j s 0, 1, . . . , n y 1. If m ) n, then the data functions must be entire of j Ž . Ž . growth s sr s y 1 where s s mrn if n divides m and of growth s s q 1 rs Ž . if m s ns q r where 1 F r F n y 1. If n G m, then R-analyticity of the x will j suffice.

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Cauchy problems for linear thermoelastic
Cauchy problems for linear thermoelastic systems of type III in one space variable
✍ Michael Reissig; Ya-Guang Wang 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 193 KB

The goal of the paper is to analyse properties of solutions for linear thermoelastic systems of type III in one space variable. Our approach does not use energy methods, it bases on a special diagonalization procedure which is di erent in di erent parts of the phase space. This procedure allows to d