scholarly journals A Sobolev space approach for global solutions to certain semi-linear heat equations in bounded domains

2009 ◽  
Keyword(s):  
Sobolev Space ◽  
Global Solutions ◽  
Heat Equations ◽  
Bounded Domains ◽  
Linear Heat ◽  
Space Approach

scholarly journals Some properties of non-linear fractional stochastic heat equations on bounded domains

2017 ◽  
Vol 102 ◽  
pp. 86-93 ◽  
Author(s):  
Mohammud Foondun ◽  
Ngartelbaye Guerngar ◽  
Erkan Nane
Keyword(s):  
Heat Equations ◽  
Bounded Domains ◽  
Non Linear ◽  
Stochastic Heat Equations

A Compact Imbedding Theorem for Functions without Compact Support

1971 ◽  
Vol 14 (3) ◽  
pp. 305-309 ◽  
Author(s):  
R. A. Adams ◽  
John Fournier
Keyword(s):  
Sobolev Space ◽  
Compact Support ◽  
Unbounded Domains ◽  
Bounded Domains ◽  
Complete Continuity ◽  
Compact Imbedding ◽  
Compactness Theorems ◽  
Image Position ◽  
Necessary And Sufficient ◽  
Made In

The extension of the Rellich-Kondrachov theorem on the complete continuity of Sobolev space imbeddings of the sort1to unbounded domains G has recently been under study [1–5] and this study has yielded [4] a condition on G which is necessary and sufficient for the compactness of (1). Similar compactness theorems for the imbeddings2are well known for bounded domains G with suitably regular boundaries, and the question naturally arises whether any extensions to unbounded domains can be made in this case.

scholarly journals Optimal Control in Infinite Horizon Problems: A Sobolev Space Approach

2006 ◽  
Vol 32 (3) ◽  
pp. 497-509 ◽  
Author(s):  
Cuong Le Van ◽  
Raouf Boucekkine ◽  
Cagri Saglam
Keyword(s):  
Optimal Control ◽  
Sobolev Space ◽  
Infinite Horizon ◽  
Infinite Horizon Problems ◽  
Horizon Problems ◽  
Space Approach

scholarly journals Revisiting Lévy flights on bounded domains: a Fock space approach

2020 ◽  
Vol 2020 (8) ◽  
pp. 083202 ◽  
Author(s):  
H A Araújo ◽  
M O Lukin ◽  
M G E da Luz ◽  
G M Viswanathan ◽  
F A N Santos ◽  
...  
Keyword(s):  
Fock Space ◽  
Bounded Domains ◽  
Lévy Flights ◽  
Levy Flights ◽  
Space Approach

scholarly journals Global solutions of semilinear heat equations in Hilbert spaces

1996 ◽  
Vol 1 (3) ◽  
pp. 263-276 ◽  
Author(s):  
G. Mihai Iancu ◽  
M. W. Wong
Keyword(s):  
Asymptotic Behavior ◽  
Hilbert Spaces ◽  
Differential Operators ◽  
Global Solutions ◽  
Linear Operators ◽  
Heat Equations ◽  
Bounded Linear Operators ◽  
Bounded Linear ◽  
Strongly Continuous Semigroups ◽  
Pseudo Differential Operators

The existence, uniqueness, regularity and asymptotic behavior of global solutions of semilinear heat equations in Hilbert spaces are studied by developing new results in the theory of one-parameter strongly continuous semigroups of bounded linear operators. Applications to special semilinear heat equations inL 2(ℝn)governed by pseudo-differential operators are given.

Sign in / Sign up

Export Citation Format

Share Document