%0 Journal Article %A Arrieta Algarra, José María %A Carvalho, Alexandre N. %A Rodríguez Bernal, Aníbal %T Parabolic problems with nonlinear boundary conditions and critical nonlinearities %D 1999 %@ 0022-0396 %U https://hdl.handle.net/20.500.14352/57852 %X We prove existence, uniqueness and regularity of solutions For heat equations with nonlinear boundary conditions. We study these problems with initial data in L-q(Omega), W-1,W-q(Omega), 1 < q < infinity or measures and with critically growing non-linearities. %~