Birth date:
11.07.1934
Keywords: general systems of PDE; local properties of PDE; Gevrey classes; analyticity; boundary value problem for general elliptic and parabolic systems; theory of functional spaces; variable order spaces; spaces with weights; Cauchy problem; energy stimates method in the Cauchy and mixed problems; method of Newton's polyhedron in PDE; general theory of Wiener–Hopf equations; local dynamics for nonlinear hyperbolic equations; Helmholtz–Kelvin instability; vortex motion; finite elements methods in potential subsonic and transonic compressible flows; flows in multi-connected domains; numerical conformal mappings of multi-connected domains.
Main publications:
S. G. Gindikin and L. R. Volevich. Distributions and Convolution Equations. Gordon and Breach Sci. Publ. 1992. 465 P.
S. G. Gindikin and L. R. Volevich. Mixed Problem for Partial Differential Equations with Quasihomogeneous Principal Part. Translations of Mathematical Monographs, vol 147, AMS, Providence RI, 1996, 233 p.
S. G. Gindikin and L. R. Volevich. The Method of Newton"s Polyhedton in the Theory of Partial Differential Equations. Kluwer Acad. Publ. 1992. 265 P.
A. Shirikyan and L. Volevich. Bounded and Almost Periodic Solutions of Linear High Order Hyperbolic Equations // Math. Nachr., 1998, vol. 193, 137–197.