Abstract
In bounded simply connected regions G with G n {x3 ≡ 0} ≠ Φ boundary value problems are studied for nonlinear equations of the form with , where T is the Tricomi operator and a,b,c,d are given functions of (x1,x2,x3)∈G. We prove the existence of generalized solutions by using apriori estimates for certain boundary value problems for the corresponding linear equation Lu ≡ g(x1,x2,x3). These estimates ensure the solvability of finite dimensional nonlinear equations related to (0); their solutions approximate in a specified sense the generalized solution of (0)
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.
