KIRCHHOFF TYPE EQUATIONS DEPENDING ON A SMALL PARAMETER

Citation:

P. D'ancona,S. Spagnolo.KIRCHHOFF TYPE EQUATIONS DEPENDING ON A SMALL PARAMETER[J].Chinese Annals of Mathematics B,1995,16(4):413~432
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Authors:

P. D'ancona; S. Spagnolo
Abstract: The authors prove some global existence results for equations of Kirchhoff type, i.e., nonlinear stretched string with nonlocal terms, depending on a parameter. This general setting includes the known results on the Kirchhoff equation with small data. Moreover, The authors can also handle some cases of degeneracy, which escaped earlier methods.

Keywords:

Nonlinear hyperbolic equations, Nonlocal equations, Kirchhoff equations

Classification:

35L70
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