Abstract
Sufficient conditions for the global existence of a strong solution of the equation u t ( t, x) = ∫ t 0 k( t − s) σ( u x ( s, x)) x ds + f( t, x) are given. The kernel k satisfies R k̂( z) ≥ κ | I k̂( z) | and σ is increasing with sup {σ′ ( p) } < 1 + 2κ([formula] + κ).
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.
