Dispersive and Strichartz estimates for the wave equation in domains with boundary | Zendy

Oana Ivanovici | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Dispersive and Strichartz estimates for the wave equation in domains with boundary

Author(s) -

Oana Ivanovici

Publication year - 2010

Publication title -

journées équations aux dérivées partielles

Language(s) - English

Resource type - Journals

eISSN - 2118-9366

pISSN - 0752-0360

DOI - 10.5802/jedp.68

Subject(s) - wave equation , mathematics , counterexample , boundary (topology) , mathematical analysis , dirichlet boundary condition , dimension (graph theory) , domain (mathematical analysis) , regular polygon , boundary value problem , dirichlet distribution , pure mathematics , geometry , discrete mathematics

In this note we consider a strictly convex domain Ω ⊂ Rd of dimension d ≥ 2 with smooth boundary ∂Ω 6= ∅ and we describe the dispersive and Strichartz estimates for the wave equation with the Dirichlet boundary condition. We obtain counterexamples to the optimal Strichartz estimates of the flat case; we also discuss the some results concerning the dispersive estimates.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research