Abstract
This chapter presents a study of the solutions of second-order elliptic equations for a domain, the boundary of which includes a segment of the curve of parabolic degeneracy. It highlights the linear elliptic partial differential equation of second order in two independent variables in its canonical form, the coefficients of which are real analytic functions given in some singly connected domain D0. The solution u(x, y) of equation is said to be regular if it is continuous together with its derivatives up to and including those of second order. A solution u(x, y) of the equation that is regular in domain D0 is an analytic function of the variables x, y. The chapter also describes elliptic systems of second order. It also highlights the Dirichlet problem for second-order elliptic equations in a domain, the boundary of which includes a segment of the curve of parabolic degeneracy.
Sign-in/Register to access full text options 
Free) 
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 call
