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Solution of a restricted Hadamard problem on Minkowski spaces
Author(s) -
Berest Yuri Yu.
Publication year - 1997
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/(sici)1097-0312(199710)50:10<1019::aid-cpa3>3.0.co;2-f
Subject(s) - hadamard transform , mathematics , minkowski space , minkowski's theorem , pure mathematics , mathematical analysis , mathematical physics
We give a complete solution of Hadamard's problem concerning Huygens' principle on even‐dimensional Minkowski spaces n +1 for a restricted class of linear, second‐order, normal hyperbolic operators ℒ = □ n +1 + u ( x 1 , x 2 ) with real (locally) analytic potentials u = u ( x 1 , x 2 ) depending on two spatial variables and homogeneous of degree −2. © 1997 John Wiley & Sons, Inc.