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Elliptic and parabolic equations with Dirichlet conditions at infinity on Riemannian manifolds
- Source :
- Scopus-Elsevier, Adv. Differential Equations 23, no. 1/2 (2018), 89-108
- Publication Year :
- 2015
-
Abstract
- We investigate existence and uniqueness of bounded solutions of parabolic equations with unbounded coefficients in $M\times \mathbb R_+$, where $M$ is a complete noncompact Riemannian manifold. 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 studied. We consider also elliptic equations on $M$ with similar conditions at infinity.
- Subjects :
- Mathematics - Differential Geometry
Applied Mathematics
35K20
35K10
58J32
58J05
Mathematics - Analysis of PDEs
58J35
Differential Geometry (math.DG)
35J25
35J67
FOS: Mathematics
Mathematics::Differential Geometry
35J25, 35J67, 35K10, 35K20, 58J05, 58J32, 58J35
Analysis
Analysis of PDEs (math.AP)
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Scopus-Elsevier, Adv. Differential Equations 23, no. 1/2 (2018), 89-108
- Accession number :
- edsair.doi.dedup.....04ca884b46dc7d002809054c81ef767c