scholarly journals An A Posteriori KAM Theorem for Whiskered Tori in Hamiltonian Partial Differential Equations with Applications to some Ill-Posed Equations

2018 ◽  
Vol 231 (2) ◽  
pp. 971-1044 ◽  
Author(s):  
Rafael de la Llave ◽  
Yannick Sire
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Kam Theorem ◽  
A Posteriori ◽  
Partial Differential ◽  
Ill Posed ◽  
Whiskered Tori

SAINT-VENANT TYPE DECAY RESULTS FOR ILL-POSED ELLIPTIC PROBLEMS

2000 ◽  
Vol 10 (05) ◽  
pp. 771-783 ◽  
Author(s):  
KAREN A. AMES ◽  
LAWRENCE E. PAYNE
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Elliptic Problems ◽  
Vital Role ◽  
Cylindrical Domain ◽  
Differential Inequalities ◽  
Partial Differential ◽  
First Order ◽  
Decay Of Solutions ◽  
Ill Posed

Differential inequalities play a vital role in the study of ordinary and partial differential equations. In this paper we make use of first-order differential inequalities to investigate the decay of solutions to two ill-posed elliptic problems in a semi-infinite cylindrical domain.

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