TY - JOUR
T1 - Dirichlet conditions at infinity for parabolic and elliptic equations Dedicated to Juan Luis Vázquez, perpetually young and stimulating friend
AU - Kamin, Shoshana
AU - Punzo, Fabio
N1 - Publisher Copyright:
© 2015 Elsevier Ltd. All rights reserved.
PY - 2016/6/1
Y1 - 2016/6/1
N2 - We investigate existence and uniqueness of bounded solutions of parabolic equations with unbounded coefficients in ℝN × ℝ+. Under specific assumptions, we establish existence of solutions satisfying prescribed conditions at infinity, depending on the direction along which infinity is approached. Moreover, the large-time behavior of such solutions is addressed. We consider also elliptic equations in ℝN with similar conditions at infinity.
AB - We investigate existence and uniqueness of bounded solutions of parabolic equations with unbounded coefficients in ℝN × ℝ+. Under specific assumptions, we establish existence of solutions satisfying prescribed conditions at infinity, depending on the direction along which infinity is approached. Moreover, the large-time behavior of such solutions is addressed. We consider also elliptic equations in ℝN with similar conditions at infinity.
KW - Conditions at infinity
KW - Parabolic equations
KW - Unbounded coefficients
UR - http://www.scopus.com/inward/record.url?scp=84947996470&partnerID=8YFLogxK
U2 - 10.1016/j.na.2015.11.001
DO - 10.1016/j.na.2015.11.001
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AN - SCOPUS:84947996470
SN - 0362-546X
VL - 138
SP - 156
EP - 175
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
ER -