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Yaroslav Borisovich Lopatynsky

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9 Nov 1906

Tbilisi, Georgia, Russia

10 March 1981

Donetske, USSR

Presentation Wikipedia
Yaroslav Lopatynsky attended the Azerbaijan University, graduating in 1926. He then taught at a number of different higher educational establishments in Baku, the capital of Azerbaijan. In 1945 he moved to Lvov where he was appointed to the chair of differential equations at Lvov University.

In 1963, Lopatynsky left Lvov and moved to Moscow's Industrial Institute. In 1966 he became head of the partial differential equations Section of the Institute of Applied Mathematics and Mechanics of the Academy of Sciences of the Ukraine in Donetske.

Lopatynsky's contributions to the theory of differential equations are particularly important. He worked on linear and nonlinear partial differential equations. He worked on the general theory of boundary value problems for linear systems of partial differential equations of elliptic type, finding general methods of solving boundary value problems.

Petryshyn writes in :

Lopatynsky was the first person to formulate a condition on the relation between the coefficients of the system and the coefficients of the boundary operators which is necessary and sufficient for the normal solvability of boundary value problems. This is now known as the Lopatynsky Condition. He also obtained some basic results in the solvability of the Cauchy problem for operator equations in Banach spaces.

In 1980 Lopatynsky published an important book Introduction to the Contemporary Theory of Partial Differential Equations.

Source:School of Mathematics and Statistics University of St Andrews, Scotland