Parabolic problems with nonlinear boundary conditions and critical nonlinearities

Arrieta Algarra, José MaríaCarvalho, Alexandre N.Rodríguez Bernal, Aníbal2023-06-202023-06-201999-08-100022-039610.1006/jdeq.1998.3612https://hdl.handle.net/20.500.14352/57852We 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.engParabolic problems with nonlinear boundary conditions and critical nonlinearitiesjournal articlehttp://www.sciencedirect.com/science/article/pii/S0022039698936129http://www.sciencedirect.com/restricted access517.98Interpolation theorems for scales of Banach spacesCritical growthInitial dataEquationsAnálisis funcional y teoría de operadores