Transport operator in the space of vector functions

2020 ◽  
Vol 18 (0) ◽  
Author(s):  
H. V. Ivasyk ◽  
E. V. Cheremnykh
Keyword(s):  
2014 ◽  
Vol 2014 ◽  
pp. 1-10
Author(s):  
Hongxing Wu ◽  
Shenghua Wang ◽  
Dengbin Yuan

Transport equation with partly smooth boundary conditions arising in growing cell populations is studied inLp  (1<p<+∞)space. It is to prove that the transport operatorAHgenerates aC0semigroup and the ninth-order remainder termR9(t)of the Dyson-Phillips expansion of the semigroup is compact, and the spectrum of transport operatorAHconsists of only finite isolated eigenvalues with finite algebraic multiplicities in a tripΓω. The main methods rely on theory of linear operators, comparison operators, and resolvent operators approach.


1975 ◽  
Vol 53 (5) ◽  
pp. 555-557
Author(s):  
Lakshmi Rangaswamy ◽  
Feroz Ahmed

We report here the P1 and P3 solutions (eigenvalues and eigenfunctions) for the case of one velocity pulsed slabs.


1995 ◽  
Vol 24 (9) ◽  
pp. 1295-1317 ◽  
Author(s):  
D. C. Sahni ◽  
E. B. Dahl ◽  
N. J. Sjöstrand

1970 ◽  
Vol 42 (1) ◽  
pp. 103-104 ◽  
Author(s):  
Pekka Silvennoinen ◽  
P. F. Zweifel

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