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 Tools annual

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 Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

This paper is devoted to the investigation of long-time behaviour ofsolutions to wave equations with quadratic nonlinearity and cubic Diracequations with Hartree-type nonlinearity. We consider the nonlinearity herewith enough simplicity so that we can treat it as a toy model andsimultaneously with enough generality so that we can apply our result to waveand Dirac equations with various nonlinearities. The challenging point is thatnonlinearity possesses singularity near the origin. Our strategy is to relaxsuch a singularity by exploiting fully an angular momentum operator. In thismanner we establish scattering for the critical Sobolev data.

Improved multilinear estimates and global regularity for general nonlinear wave equations in $(1+3)$ dimensions