Tests for m-accretive closedness of a second-order linear elliptic operator

1990 ◽  
Vol 31 (2) ◽  
pp. 249-260 ◽  
Author(s):  
V. F. Kovalenko ◽  
Yu. A. Semenov
Keyword(s):  
Elliptic Operator ◽  
Second Order ◽  
Order Linear ◽  
Linear Elliptic Operator

Lower Bounds for Solutions of Parabolic Differential Inequalities

1967 ◽  
Vol 19 ◽  
pp. 667-672 ◽  
Author(s):  
Hajimu Ogawa
Keyword(s):  
Hilbert Space ◽  
Differential Operator ◽  
Asymptotic Behaviour ◽  
Elliptic Operator ◽  
Bounded Domain ◽  
Lower Bounds ◽  
Second Order ◽  
Differential Inequalities ◽  
Linear Elliptic Operator ◽  
Image Position

Let P be the parabolic differential operatorwhere E is a linear elliptic operator of second order on D × [0, ∞), D being a bounded domain in Rn. The asymptotic behaviour of solutions u(x, t) of differential inequalities of the form1has been investigated by Protter (4). He found conditions on the functions ƒ and g under which solutions of (1), vanishing on the boundary of D and tending to zero with sufficient rapidity as t → ∞, vanish identically for all t ⩾ 0. Similar results have been found by Lees (1) for parabolic differential inequalities in Hilbert space.

Partial avaraging of the nondivergence second order elliptic operator

2016 ◽  
Vol 31 (3) ◽  
pp. 47-53
Author(s):  
M.M. Sirazhudinov ◽  
◽  
S.P. Dzhamaludinova ◽  
M.E. Mahmudova ◽  
◽  
...  
Keyword(s):  
Elliptic Operator ◽  
Second Order ◽  
Order Elliptic Operator

Bases for Second Order Linear ODEs

2020 ◽  
Vol 127 (9) ◽  
pp. 849-849
Author(s):  
Peter McGrath
Keyword(s):  
Second Order ◽  
Order Linear ◽  
Linear Odes
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