TY - JOUR
T1 - A simplified version of the abstract cauchy-kowalewski theorem with weak singularities
AU - Caflisch, Russel E.
PY - 1990/10
Y1 - 1990/10
N2 - A simplified version of the abstract Cauchy-Kowalewski theorem of Nirenberg [9], Ovsjannikov [12], Nishida [10], Baouendi and Goulaouic [3], and Asano [1] is presented. The new version requires more specific information on the form of the equation but recovers a stronger result in that the region of existence is not forced to shrink at each step of an iteration and that weak singularities are allowed along the boundary of the region of existence.
AB - A simplified version of the abstract Cauchy-Kowalewski theorem of Nirenberg [9], Ovsjannikov [12], Nishida [10], Baouendi and Goulaouic [3], and Asano [1] is presented. The new version requires more specific information on the form of the equation but recovers a stronger result in that the region of existence is not forced to shrink at each step of an iteration and that weak singularities are allowed along the boundary of the region of existence.
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U2 - 10.1090/S0273-0979-1990-15962-2
DO - 10.1090/S0273-0979-1990-15962-2
M3 - Article
AN - SCOPUS:84968519480
SN - 0273-0979
VL - 23
SP - 495
EP - 500
JO - Bulletin of the American Mathematical Society
JF - Bulletin of the American Mathematical Society
IS - 2
ER -