๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

About the solvability behaviour for special classes of nonlinear hyperbolic equations

โœ Scribed by Jens Wirth


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
119 KB
Volume
52
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

โœฆ Synopsis


We study the question of global existence for small data solutions to the special class of semilinear wave equations

with time-dependent coe cient in the principle part.

We consider the cases of increasing and decreasing coe cients by two examples using the theory of special functions. This underlines the positive in uence of increasing coe cients.

Inspired by this result we prove in the last part a global existence result for small data solutions for the class of slowly oscillating coe cient functions a = a(t).


๐Ÿ“œ SIMILAR VOLUMES