TY - JOUR
T1 - Asymptotic behavior of solutions of second order parabolic partial differential equations with unbounded coefficients
AU - Cosner, Chris
N1 - Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.
PY - 1980/3
Y1 - 1980/3
N2 - Classical solutions of a second order parabolic partial differential equation are considered in unbounded domains. The coefficients are allowed to have unbounded growth as the space variables tend to infinity. A Phragmèn-Lindelöf principle is proved for such equations. That principle is used together with comparison functions to derive sufficient conditions for the asymptotic decay in time of solutions.
AB - Classical solutions of a second order parabolic partial differential equation are considered in unbounded domains. The coefficients are allowed to have unbounded growth as the space variables tend to infinity. A Phragmèn-Lindelöf principle is proved for such equations. That principle is used together with comparison functions to derive sufficient conditions for the asymptotic decay in time of solutions.
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U2 - 10.1016/0022-0396(80)90036-4
DO - 10.1016/0022-0396(80)90036-4
M3 - Article
AN - SCOPUS:0011396393
VL - 35
SP - 407
EP - 428
JO - Journal of Differential Equations
JF - Journal of Differential Equations
SN - 0022-0396
IS - 3
ER -