TY - JOUR
T1 - Well-posedness of one-phase Stefan problems for sublinear heat equations
AU - Aiki, Toyohiko
AU - Imai, Hitoshi
AU - Ishimura, Naoyuki
AU - Yamada, Yoshio
PY - 2002/11
Y1 - 2002/11
N2 - Well-posedness of one-phase Stefan problems for sublinear heat equations was studied. Nonnegative solutions were considered because the uniqueness theorem held only for them. The global existence and uniqueness of solutions of Stefan problems were established. Results indicated that the large-time behavior of solutions of the problem was similar to that of the initial boundary value problem.
AB - Well-posedness of one-phase Stefan problems for sublinear heat equations was studied. Nonnegative solutions were considered because the uniqueness theorem held only for them. The global existence and uniqueness of solutions of Stefan problems were established. Results indicated that the large-time behavior of solutions of the problem was similar to that of the initial boundary value problem.
KW - Green's function
KW - One-phase Stefan problems
KW - Sublinear heat equations
KW - Uniqueness of solutions
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U2 - 10.1016/S0362-546X(01)00845-8
DO - 10.1016/S0362-546X(01)00845-8
M3 - Article
AN - SCOPUS:0036833093
SN - 0362-546X
VL - 51
SP - 587
EP - 606
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
IS - 4
ER -