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.
|Number of pages||20|
|Journal||Nonlinear Analysis, Theory, Methods and Applications|
|State||Published - 1 Jun 2016|
- Conditions at infinity
- Parabolic equations
- Unbounded coefficients