RT Journal Article T1 On the very weak solvability of the beam equation A1 Díaz Díaz, Jesús Ildefonso AB We get some necessary and sufficient conditions for the very weak solvability of the beam equation stated in terms of powers of the distance to the boundary, accordingly to the boundary condition under consideration. We get a L(1)-estimate by using an abstract result due to Crandall and Tartar. Applications to some nonlinear perturbed equations and to the eventual positivity of the solution of the parabolic problems are also given. PB Springer SN 1578-7303 YR 2011 FD 2011 LK https://hdl.handle.net/20.500.14352/42146 UL https://hdl.handle.net/20.500.14352/42146 LA eng NO Unión Europea. FP7 NO DGISPI (Spain) NO UCM DS Docta Complutense RD 9 abr 2025