Characteristic Cauchy problem on a complex-analytic manifold

1984 ◽  
pp. 54-76 ◽  
Author(s):  
B.Yu. Sternin ◽  
V. E. Shatalov
Keyword(s):  
Cauchy Problem ◽  
Analytic Manifold ◽  
Complex Analytic Manifold ◽  
Characteristic Cauchy Problem

Regularization of a non-characteristic Cauchy problem for a parabolic equation

1995 ◽  
Vol 11 (6) ◽  
pp. 1247-1263 ◽  
Author(s):  
Dinh Nho Hao ◽  
A Schneiders ◽  
H -J Reinhardt
Keyword(s):  
Cauchy Problem ◽  
Parabolic Equation ◽  
Characteristic Cauchy Problem

scholarly journals A Note on Holomorphic Vector Bundles Over Quotient Manifolds With Respect to Nilpotent Groups

1972 ◽  
Vol 48 ◽  
pp. 183-188
Author(s):  
Hisasi Morikawa
Keyword(s):  
Vector Bundle ◽  
Endomorphism Ring ◽  
Vector Bundles ◽  
Holomorphic Vector Bundle ◽  
Nilpotent Groups ◽  
Projective Bundle ◽  
Analytic Manifold ◽  
Transition Functions ◽  
Holomorphic Vector Bundles ◽  
Complex Analytic Manifold

A holomorphic vector bundle E over a complex analytic manifold is said to be simple, if its global endomorphism ring Endc (E) is isomorphic to C. Projectifying the fibers of E, we get the associated projective bundle P(E) of E, If we can choose a system of constant transition functions of P(Exs), the projective bundle P(E) is said to be locally flat.

scholarly journals Uniqueness in a doubly characteristic Cauchy problem

1989 ◽  
Vol 136 (2) ◽  
pp. 229-240 ◽  
Author(s):  
Adalberto Bergamasco ◽  
Hermano de Souza Ribeiro
Keyword(s):  
Cauchy Problem ◽  
Characteristic Cauchy Problem
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