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Partial differential equations (PDEs): Existence and uniqueness, regularity, boundary conditions, linear and non-linear operators, stability, soliton theory, integrable PDEs, conservation laws, qualitative dynamics.

2 votes
0 answers
291 views

Why is a smooth weak solution strong for stationary linear Stokes problem with zero-traction...

Can anyone provide me with a reference giving details on how smooth generalized solutions of the stationary linear Stokes problem can be shown to be classical solutions when a zero-traction boundary c …
Navier_Stoked's user avatar
2 votes
1 answer
193 views

Weakened conditions on the smoothness of the domain in the regularity and a priori estimate ...

I have read in a couple of places (e.g. An Introduction to PDEs by Renardy and Rogers, p.309) that the smoothness hypotheses on the domain in the a priori estimate of Agmon, Douglis, and Nirenberg for …
Navier_Stoked's user avatar