TY - JOUR
T1 - Asymptotic expansions for parabolic systems
AU - Schuss, Zeev
PY - 1973/10
Y1 - 1973/10
N2 - We consider a parabolic system in a half space. A theorem, similar to one proved by Meyers and Pazy for elliptic equations outside the unit ball is proved, namely, if the coefficients, the right side, and the initial conditions of the parabolic system have asymptotic expansions at infinity with respect to the space variable, then so does the solution of the corresponding Cauchy problem. Some generalizations and examples are given.
AB - We consider a parabolic system in a half space. A theorem, similar to one proved by Meyers and Pazy for elliptic equations outside the unit ball is proved, namely, if the coefficients, the right side, and the initial conditions of the parabolic system have asymptotic expansions at infinity with respect to the space variable, then so does the solution of the corresponding Cauchy problem. Some generalizations and examples are given.
UR - http://www.scopus.com/inward/record.url?scp=49549169502&partnerID=8YFLogxK
U2 - 10.1016/0022-247X(73)90032-2
DO - 10.1016/0022-247X(73)90032-2
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AN - SCOPUS:49549169502
SN - 0022-247X
VL - 44
SP - 136
EP - 159
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 1
ER -