TY - JOUR
T1 - Nonlinear degenerate parabolic equations with singular coefficients for Greiner vector fields
AU - Ahmetolan, S.
PY - 2008/7
Y1 - 2008/7
N2 - In this work, we consider the following nonlinear parabolic partial differential equations: (Formula presented.) in a cylinder Ω × (0, T) with initial condition u(w, 0) = u 0 (w) ≥ 0 and vanishing on the boundary ∂Ω × (0, T), where Ω is a Carnot Carathéodory metric ball in ℝ 2n+1 with smooth boundary and the time-dependent potential function is (Formula presented.), 0 < m < q and 1 < p < q + 1. We investigate the nonexistence of positive solutions of these two problems and present our results on nonexistence.
AB - In this work, we consider the following nonlinear parabolic partial differential equations: (Formula presented.) in a cylinder Ω × (0, T) with initial condition u(w, 0) = u 0 (w) ≥ 0 and vanishing on the boundary ∂Ω × (0, T), where Ω is a Carnot Carathéodory metric ball in ℝ 2n+1 with smooth boundary and the time-dependent potential function is (Formula presented.), 0 < m < q and 1 < p < q + 1. We investigate the nonexistence of positive solutions of these two problems and present our results on nonexistence.
KW - 35H10
KW - 35K55
KW - 35K65
KW - 35R05
KW - Greiner vector fields
KW - Nonexistence
KW - Nonlinear parabolic equations
KW - Positive solutions
UR - http://www.scopus.com/inward/record.url?scp=85000143571&partnerID=8YFLogxK
U2 - 10.1080/00036810802378604
DO - 10.1080/00036810802378604
M3 - Article
AN - SCOPUS:85000143571
SN - 1522-6514
VL - 87
SP - 741
EP - 754
JO - International Journal of Phytoremediation
JF - International Journal of Phytoremediation
IS - 7
ER -