RT Journal Article
T1 Linear and semilinear higher order parabolic equations in R-N
A1 Rodríguez Bernal, Aníbal
A1 Cholewa, Jan W.
AB In this paper we consider some fourth order linear and semilinear equations in R-N and make a detailed study of the solvability of the Cauchy problem. For the linear equation we consider some weakly integrable potential terms, and for any 1 < p < infinity prove that for a suitable family of Bessel potential spaces, H-p(alpha) (R-N), the linear equation defines a strongly continuous analytic semigroup.Using this result, we prove that the nonlinear problems we consider can be solved for initial data in L-p(RN) and in H-p(2) (R-N). We also find the corresponding critical exponents, that is, the largest growth allowed for the nonlinear terms for these classes of initial data.
PB Elsevier
SN 0362-546X
YR 2010
FD 2010-01
LK https://hdl.handle.net/20.500.14352/42474
UL https://hdl.handle.net/20.500.14352/42474
LA eng
NO MEC
NO UCM, Spain
DS Docta Complutense
RD 7 abr 2025