TY - JOUR
T1 - C∞-solutions of some degenerate parabolic equations
AU - Otani, Mitsuharu
AU - Sugiyama, Y.
PY - 2001/8
Y1 - 2001/8
N2 - The existence of time local smooth solutions of (P) in higher dimensions is analyzed. A time local solution which is smooth with respect to time and space variables is constructed. Thus, the existence of time local solutions for the porous medium equations is proven.
AB - The existence of time local smooth solutions of (P) in higher dimensions is analyzed. A time local solution which is smooth with respect to time and space variables is constructed. Thus, the existence of time local solutions for the porous medium equations is proven.
KW - Porous medium equation
KW - Quasilinear parabolic equations
KW - Smooth solutions
KW - Time local solutions
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U2 - 10.1016/S0362-546X(01)00434-5
DO - 10.1016/S0362-546X(01)00434-5
M3 - Article
AN - SCOPUS:0035418887
SN - 0362-546X
VL - 47
SP - 3171
EP - 3181
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
IS - 5
ER -