scholarly journals Correction to “Principal eigenvalues and equilibrium states corresponding to weakly coupled parabolic systems of PDE”

1993 ◽  
Vol 61 (1) ◽  
pp. 403-403
Author(s):  
Yuri Kifer
Keyword(s):  
Parabolic Systems ◽  
Equilibrium States ◽  
Principal Eigenvalues ◽  
Weakly Coupled ◽  
Coupled Parabolic Systems

scholarly journals Growth of solutions of weakly coupled parabolic systems and Laplace's equation

1986 ◽  
Vol 41 (3) ◽  
pp. 391-403
Author(s):  
N. A. Watson
Keyword(s):  
Lebesgue Measure ◽  
Nonnegative Solution ◽  
Coupled System ◽  
Parabolic Systems ◽  
Parabolic Partial Differential Equations ◽  
Poisson Integrals ◽  
Weakly Coupled ◽  
Weakly Coupled System ◽  
Coupled Parabolic Systems ◽  
Growth Of Solutions

AbstractLet ui(x, t) be the ith component of a nonnegative solution of a weakly coupled system of second-order, linear, parabolic partial differential equations, for x ∈ Rn and 0 < t < T. We obtain lower estimates, near t = 0, for the Lebesgue measure of the set of x for which exceeds 1. Related results for Poisson integrals on a half-space are also described, some applications are given, and interesting comparisons emerge.

Properties of Solutions of Weakly Coupled Parabolic Systems

1981 ◽  
Vol s2-23 (3) ◽  
pp. 475-495 ◽  
Author(s):  
J. Chabrowski ◽  
N. A. Watson
Keyword(s):  
Parabolic Systems ◽  
Weakly Coupled ◽  
Coupled Parabolic Systems

scholarly journals Weakly coupled parabolic systems with unbounded coefficients

1973 ◽  
Vol 3 (1) ◽  
pp. 1-14 ◽  
Author(s):  
Takaŝi Kusano ◽  
Tadashi Kuroda ◽  
Lu-San Chen
Keyword(s):  
Parabolic Systems ◽  
Unbounded Coefficients ◽  
Weakly Coupled ◽  
Coupled Parabolic Systems
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