Gradient estimates in parabolic problems with unbounded coefficients

By M. Bertoldi, S. Fornaro. 2004

60 citations recorded by the source corpus.

We study, with purely analytic tools, existence, uniqueness and gradient estimates of the solutions to the Neumann problems associated with a second order elliptic operator with unbounded coecien ts in spaces of continuous functions in an unbounded open set in R N. 1. Introduction. In this paper we consider a linear second order elliptic operator, A = N X i;j=1 qijDij + N X i=1 FiDi V; with regular possibly unbounded coecien ts in a regular convex open set R N. The set may be unbounded. We study existence, uniqueness and gradient estimates of the solutions to the Neumann problems

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/e48e54c93e05edd476334cda4c19ae0a4b331760

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In Applied Mathematics

1. Luca Lorenzi
2. M. Bertoldi
3. Markus Kunze

In Computational Theory and Mathematics

1. Luca Lorenzi
2. M. Bertoldi

In Mathematical Physics

1. Luca Lorenzi
2. M. Bertoldi
3. Markus Kunze

Citations in the corpus

• Estimates of the derivatives for parabolic operators with unbounded coefficients (2005, background): “The problem of estimating the derivatives of T (t)f has already been studied in literature by both analytic ([2, 4, 6, 12]) and probabilistic methods ([5, 19]).”