Generalized Solutions of a Periodic Goursat Problem
نویسندگان
چکیده
منابع مشابه
Generalized Solutions of a Periodic Goursat Problem
Under reasonable assumptions on the data u, v and the function f , we show that the nonlinear periodic Goursat problem ∂u ∂x∂y (x, y) = f(x, y, u(x, y)); u(x, 0) = v(x); u(0, y) = w(y) which cannot be posed in the general theory of distributions, may be studied and solved in a differential algebra of periodic new generalized functions on R2. This algebra contains, in a canonical way, the space ...
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ژورنال
عنوان ژورنال: Journal of Applied Analysis
سال: 2001
ISSN: 1425-6908,1869-6082
DOI: 10.1515/jaa.2001.43