Abstract
We prove that the initial value problem for semi-linear wave equations is well-posed in the Besov space B ̇ s p,∞ 2( R n) , where the nonlinearity is of type u p , with p∈ N and s p= n 2 − 2 p > 1 2 . This allows to obtain self-similar solutions as well as to recover previous results under weaker smallness assumptions on the data.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
