On Green's matrices for elliptic boundary value problems. II

zbMath0269.35042MaRDI QIDQ2563251

Vsevolod A. Solonnikov

Publication date: 1973

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

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) A priori estimates in context of PDEs (35B45)

Related Items

Navier-Stokes equations: Green's matrices, vorticity direction, and regularity up to the boundary ⋮ Global existence of strong and weak solutions to 2D compressible Navier-Stokes system in bounded domains with large data and vacuum ⋮ Serrin-type blowup criterion for viscous, compressible, and heat conducting Navier-Stokes and magnetohydrodynamic flows ⋮ Global classical solutions to the compressible Navier–Stokes equations with Navier-type slip boundary condition in 2D bounded domains ⋮ Direction of vorticity and smoothness of viscous fluid flows subjected to boundary constraints ⋮ On a family of results concerning direction of vorticity and regularity for the Navier-Stokes equations ⋮ Concerning the existence of classical solutions to the Stokes system. On the minimal assumptions problem ⋮ Geometric regularity criteria for incompressible Navier-Stokes equations with Navier boundary conditions ⋮ A continuation principle for the 3-D Euler equations for incompressible fluids in a bounded domain