Abstract
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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 407-428 |
| Number of pages | 22 |
| Journal | Journal of Differential Equations |
| Volume | 35 |
| Issue number | 3 |
| DOIs | |
| State | Published - 1980 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Analysis
Cite this
Asymptotic behavior of solutions of second order parabolic partial differential equations with unbounded coefficients. / Cosner, George.
In: Journal of Differential Equations, Vol. 35, No. 3, 1980, p. 407-428.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Asymptotic behavior of solutions of second order parabolic partial differential equations with unbounded coefficients
AU - Cosner, George
PY - 1980
Y1 - 1980
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.
UR - http://www.scopus.com/inward/record.url?scp=0011396393&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0011396393&partnerID=8YFLogxK
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 -