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- W3149588597 abstract "Consider the linear partial differential equation P(z, ∂_z_)u(z) = f(z) in ℂ_d_+1 , where f(z) is not holomorphic on K = {_z_0 = 0}, but it has an asymptotic expansion with respect to _z_0 as z_0 → 0 in some sectorial region. We show under some conditions on P(z, ∂_z) that there exists a solution u(z) which has an asymptotic expansion of the same type as that of f(z)." @default.
- W3149588597 created "2021-04-13" @default.
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- W3149588597 date "2004-01-01" @default.
- W3149588597 modified "2023-10-18" @default.
- W3149588597 title "Existence of solutions with asymptotic expansion of linear partial differential equations in the complex domain" @default.
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- W3149588597 doi "https://doi.org/10.2977/prims/1145475972" @default.
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