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.
Dirichlet conditions at infinity for parabolic and elliptic equations
PUNZO, FABIO
2016-01-01
Abstract
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.File in questo prodotto:
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