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

It was shown by the second author in (CPAA, 2019) for the biharmonicSchr\"odinger equation and most recently by Himonas and Mantzavinos(Nonlinearity, 2020) for 2D Schr\"odinger equation that Fokas method basedformulas are capable of defining weak solutions of associated nonlinear initialboundary value problems (ibvps) below the Banach algebra threshold. In view ofthese results, we revisit the theory of interior-boundary Strichartz estimatesfor the Schr\"odinger equation posed on the right half line, considering bothDirichlet and Neumann cases. Finally, we apply these estimates to obtain lowregularity solutions for the nonlinear Schr\"odinger equation (NLS) withNeumann boundary condition and a coupled system of NLS equations defined on thehalf line with Dirichlet/Neumann boundary conditions.

The interior-boundary Strichartz estimate for the Schr\"odinger equation on the half line revisited