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Singular solutions for a class of Grusin type operators
Author(s):
Nicholas
Hanges;
A.
Alexandrou
Himonas
Journal:
Proc. Amer. Math. Soc.
124
(1996),
1549-1557.
MSC (1991):
Primary 35H05
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Abstract:
We construct singular solutions for a one-parameter family of partial differential equations with double characteristics and with complex lower order terms. The parameter belongs to a discrete set which is described in terms of the spectrum of a related differential operator.
References:
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Additional Information:
Nicholas
Hanges
Affiliation:
Department of Mathematics, Herbert H. Lehman College-CUNY, Bronx, New York 10468-1589
Email:
nwhlc@cunyvm.cuny.edu
A.
Alexandrou
Himonas
Affiliation:
Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556
Email:
Alex.A.Himonas.1@nd.edu
DOI:
10.1090/S0002-9939-96-03180-2
PII:
S 0002-9939(96)03180-2
Keywords:
Eigenvalue,
eigenfunction,
concatenations,
hypoellipticity,
double characteristics
Received by editor(s):
October 14, 1994
Received by editor(s) in revised form:
November 14, 1994
Additional Notes:
The first author was partially supported by NSF Grant DMS 91-04569.
The second author was partially supported by NSF Grant DMS 91-01161.
Communicated by:
Jeffrey Rauch
Copyright of article:
Copyright
1996,
American Mathematical Society
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