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1989•Russian Mathematical SurveysRequires access

Boundary values of solutions of operator-differential equations

В. И. Горбачук, A. V. Knyazyuk

Open publisher page 49 citations

Abstract

CONTENTS Introduction § 1. Spaces of infinitely-differentiable and generalized vectors of a closed operator § 2. Representation of solutions of operator-differential equations and investigation of their boundary values § 3. Behaviour at infinity of solutions of operator-differential equations § 4. Theory of boundary values for partial differential equations References

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CONTENTS Introduction § 1. Spaces of infinitely-differentiable and generalized vectors of a closed operator § 2. Representation of solutions of operator-differential equations and investigation of their boundary values § 3. Behaviour at infinity of solutions of operator-differential equations § 4. Theory of boundary values for partial differential equations References

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CONTENTS Introduction § 1. Spaces of infinitely-differentiable and generalized vectors of a closed operator § 2. Representation of solutions of operator-differential equations and investigation of their boundary values § 3. Behaviour at infinity of solutions of operator-differential equations § 4. Theory of boundary values for partial differential equations References

Key concepts: Mathematics, Symbol of a differential operator, Hypoelliptic operator, Mathematical analysis, Semi-elliptic operator, Boundary value problem, Operator (biology), Poincaré–Steklov operator

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