Bogovskij, M. E. Solution of the first boundary value problem for the equation of continuity of an incompressible medium. (English. Russian original) Zbl 0499.35022 Sov. Math., Dokl. 20, 1094-1098 (1979); translation from Dokl. Akad. Nauk SSSR 248, 1037-1040 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 8 ReviewsCited in 125 Documents MSC: 35F15 Boundary value problems for linear first-order PDEs 35B45 A priori estimates in context of PDEs 35D05 Existence of generalized solutions of PDE (MSC2000) 35D10 Regularity of generalized solutions of PDE (MSC2000) 76D99 Incompressible viscous fluids 46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems 35Q99 Partial differential equations of mathematical physics and other areas of application Keywords:first boundary value problem; equation of continuity; incompressible medium PDFBibTeX XMLCite \textit{M. E. Bogovskij}, Sov. Math., Dokl. 20, 1094--1098 (1979; Zbl 0499.35022); translation from Dokl. Akad. Nauk SSSR 248, 1037--1040 (1979)