RT Journal Article
T1 On the differentiability of very weak solutions with right-hand side data integrable with respect to the distance to the boundary
A1 Díaz Díaz, Jesús Ildefonso
A1 Rakotoson, Jean Michel Theresien
AB We study the differentiability of very weak solutions v is an element of L(1) (Omega) of (v, L* phi)(0) = (f, phi)(0) for all phi is an element of C(2)((Omega) over bar) vanishing at the boundary whenever f is in L(1) (Omega, delta), with delta = dist(x, partial derivative Omega), and L* is a linear second order elliptic operator with variable coefficients. We show that our results are optimal. We use symmetrization techniques to derive the regularity in Lorentz spaces or to consider the radial solution associated to the increasing radial rearrangement function (f) over tilde of f.
PB Elsevier
SN 0022-1236
YR 2009
FD 2009-08-01
LK https://hdl.handle.net/20.500.14352/42162
UL https://hdl.handle.net/20.500.14352/42162
LA eng
NO Ministerio de Ciencia e Innovacion, Spain
NO DGUIC
DS Docta Complutense
RD 18 abr 2025