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An  a priori estimate for the Tricomi equation in the upper half space
Author(s):
Jong
Uhn
Kim
Journal:
Trans. Amer. Math. Soc.
351
(1999),
4611-4628.
MSC (1991):
Primary 35J70, 35B45
Posted:
July 19, 1999
MathSciNet review:
1615987
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Abstract:
We establish an  a priori estimate for the Tricomi equation. Our main tool is Mihlin's multiplier theorem combined with well-known estimates of the Newtonian potential.
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Additional Information:
Jong
Uhn
Kim
Affiliation:
Department of Mathematics, Virginia Tech, Blacksburg, Virginia 24061-0123
Email:
kim@math.vt.edu
DOI:
10.1090/S0002-9947-99-02349-1
PII:
S 0002-9947(99)02349-1
Keywords:
$L^{p}$ a priori estimate,
Tricomi equation,
Newtonian potential,
Fourier transform,
Mihlin's multiplier theorem,
Airy functions
Received by editor(s):
December 30, 1996
Received by editor(s) in revised form:
February 10, 1998
Posted:
July 19, 1999
Copyright of article:
Copyright
1999,
American Mathematical Society
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