V. A. Steklov's work on equations of mathematical physics and development of his results in this field

DOI10.1134/S0081543815040082zbMath1339.35204OpenAlexW2282613253MaRDI QIDQ281004

A. K. Gushchin

Publication date: 10 May 2016

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543815040082

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) Biographies, obituaries, personalia, bibliographies (01A70) History of partial differential equations (35-03) Partial differential equations of mathematical physics and other areas of application (35Qxx)

Related Items (6)

Vladimir Andreevich Steklov (1863--1926) ⋮ The Luzin area integral and the nontangential maximal function for solutions to a second-order elliptic equation ⋮ On Dirichlet problem ⋮ A criterion for the existence of \(L_p\) boundary values of solutions to an elliptic equation ⋮ The boundary values of solutions of an elliptic equation ⋮ On the existence of \(L_2\) boundary values of solutions to an elliptic equation

Cites Work

• Ungleichungen für den Inhalt von Trennflächen
• Über den funktionalen, insbesondere den analytischen Charakter der Lösungen elliptischer Differentialgleichungen zweiter Ordnung
• Über lineare elliptische Differentialgleichungen zweiter Ordnung
• On the distribution of the Fourier spectrum of Boolean functions
• Interpolations by bounded analytic functions and the corona problem
• The Dirichlet problem for a second-order elliptic equation with anL_pboundary function
• Solvability of the Dirichlet problem for a general second-order elliptic equation
• An Interpolation Problem for Bounded Analytic Functions
• Continuity of Solutions of Parabolic and Elliptic Equations
• $ L_p$-estimates of the solution of the Dirichlet problem for second-order elliptic equations
• On the solutions of second order elliptic partial differential equations with unbounded Dirichlet integral
• A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
• Theorems on Fourier Series and Power Series
• Sur certains problèmes non linéaires de Neumann et sur certains problèmes non linéaires mixtes (suite)
• Lp Estimates for (Pluri-) Subharmonic Functions.
• Singular Integrals and Boundary Value Problems
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