Differential and Integral Equations
- Differential Integral Equations
- Volume 20, Number 7 (2007), 735-754.
Morawetz-Strichartz estimates for spherically symmetric solutions to wave equations and applications to semilinear Cauchy problems
We prove some space-time estimates with homogeneous weight functions for the wave equation with radially symmetric data in order to explain a connection between the Morawetz-type space-time estimate and the Strichartz-type space-time estimate. As an application of such linear estimates, we give a new proof of global existence of small radial solutions to semilinear wave equations. Local existence of radial solutions is also studied for low-regularity data.
Differential Integral Equations Volume 20, Number 7 (2007), 735-754.
First available in Project Euclid: 20 December 2012
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 35L70: Nonlinear second-order hyperbolic equations
Secondary: 35B45: A priori estimates 35B65: Smoothness and regularity of solutions
Hidano, Kunio. Morawetz-Strichartz estimates for spherically symmetric solutions to wave equations and applications to semilinear Cauchy problems. Differential Integral Equations 20 (2007), no. 7, 735--754. https://projecteuclid.org/euclid.die/1356039407.