Abstract
Strongly hyperbolic differential equations become L-well-posed mixed problems under suitable boundary conditions. A concept of uniform Lopatinski's condition, given by S. Agmon Q], gives a sufficient condition for L-well-posedness. Moreover, it is known that some types of mixed problems become L-well-posed, which do not satisfy uniform Lopatinski's condition (cf. [J2], Q3], [Jf]). On the other hand, in the case of constant coefficients and half-space, a necessary and sufficient condition for jL-well-posedness is given by R. Agemi & T. Shirota \Jf] by the words of uniform L-well-posedness for boundary value problems of ordinary differential equations with parameters. But it is not so concrete to clear the role of uniform Lopatinski's condition. This paper is a trial of more concrete characterizations of L-well-posedness for strongly hyperbolic mixed problems. We consider the problem
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: Publications of the Research Institute for Mathematical Sciences
Disclaimer: 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.