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

We consider the Cauchy problems in the whole space for the wave equation witha weighted L^{1}-initial data. We first derive sharp infinite time blowupestimates of the L^{2}-norm of solutions in the one and two dimensional cases.Then, we apply it to the local energy decay estimates for n = 2, which is notstudied so completely when the 0-th moment of the initial velocity does notvanish. The idea to derive them is strongly inspired from a technique used inthe author's previous papers.

$L^{2}$-blowup estimates of the wave equation and its application to local energy decay