Function theoretic methods in partial differential equations
The monograph deals with recent developments in the function theoretic approach to partial differential equations, and application of these developments to certain problems of current interest in mathematical physics. Using the theory of one and several complex variables, the author investigates the analytic behavior of solutions. Other topics discussed are: singular partial differential equations, function theory for solutions of elliptic partial differential equations, generalized Goursat data for nonlinear elliptic partial differential equations, applications to scattering theory. (Author).
"The monograph deals with recent developments in the function theoretic approach to partial differential equations, and application of these developments to certain problems of current interest in mathematical physics. Using the theory of one and several complex variables, the author investigates the analytic behavior of solutions. Other topics discussed are: singular partial differential equations, function theory for solutions of elliptic partial differential equations, generalized Goursat data for nonlinear elliptic partial differential equations, applications to scattering theory. (Author)."@en
"Generalizations ofanalytic function theary; On the convolution product in discrete functions theory; On(K)-monogenic functions of a quaternion variable; On zeros of elliptic systems of first order in the plane; Generalized maximum principles in certain classes of pseudoanalytic functions; Integral operations; On singular intergal operators on piecewise smooth lines; On singular integral operators; Boundary value problems; On singular solutions of strongley nonlinear systemas of ordinary differential equations; On a nonlinear boundary value problem; Systems of Abel."
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