The interior and boundary continuity of the solution of the singular equation (β(u))t = Lu are discussed. L is a second order elliptic operator with bounded measurable coefficients that depend both on space and time. For N = 2 a general second order uniform elliptic operator is considered.
Interior and boundary continuity of the solution of the singular equation beta(u)_t = L(u) / U. GIANAZZA; B. STROFFOLINI; V. VESPRI. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - STAMPA. - 56:(2004), pp. 157-183. [10.1016/j.na.2003.09.003]
Interior and boundary continuity of the solution of the singular equation beta(u)_t = L(u)
VESPRI, VINCENZO
2004
Abstract
The interior and boundary continuity of the solution of the singular equation (β(u))t = Lu are discussed. L is a second order elliptic operator with bounded measurable coefficients that depend both on space and time. For N = 2 a general second order uniform elliptic operator is considered.
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