A product property of Sobolev spaces with application to elliptic estimates

DOI10.4171/RSMUP/131-5zbMath1314.46049OpenAlexW2060313257MaRDI QIDQ396487

Henry C. Simpson, Spector, Scott J.

Publication date: 13 August 2014

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rsmup/131-5

zbMATH Keywords

elasticitysystems of partial differential equationselliptic regularitySobolev estimates

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Equations linearized about a deformed state (small deformations superposed on large) (74B15) Boundary value problems for second-order elliptic systems (35J57)

Cites Work

• Global continuation in nonlinear elasticity
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
• Unnamed Item