An -estimate with a constant independent of time for solutions of the linearized compressible Navier-Stokes system in the whole space (under the assumption that solutions have compact supports in space) is obtained.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm87-2-2, author = {Piotr Bogus\l aw Mucha}, title = {On an estimate for the linearized compressible Navier-Stokes equations in the $L\_{p}$-framework}, journal = {Colloquium Mathematicae}, volume = {89}, year = {2001}, pages = {159-169}, zbl = {0970.35092}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm87-2-2} }
Piotr Bogusław Mucha. On an estimate for the linearized compressible Navier-Stokes equations in the $L_{p}$-framework. Colloquium Mathematicae, Tome 89 (2001) pp. 159-169. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm87-2-2/