English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Let Ω ⊆ IRn be an open set and let A(Ω) denote the class of real analytic functions on Ω. It is proved that for every surjective linear partial differential operator P (D,x) : A(Ω) → A(Ω) and every family (fλ) ⊆ A(Ω) depending holomorphically on λ ∈ C there is a solution family (uλ) ⊆ A(Ω) depending on λ in the same way such that P (D,x)uλ = fλ, for λ ∈ C. The result is a consequence of a characterization of Frechet spaces E such that the class of “weakly” real analytic E-valued functions coincides with the analogous class defined via Taylor series. An example shows that the analogous assertions need not be valid if C is replaced by another set.

Parameter dependence of solutions of partial differential equations in spaces of real analytic functions