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Results tagged with ap.analysis-of-pdes
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user 25995
Partial differential equations (PDEs): Existence and uniqueness, regularity, boundary conditions, linear and non-linear operators, stability, soliton theory, integrable PDEs, conservation laws, qualitative dynamics.
4
votes
2
answers
809
views
Elliptic regularity in $L^1$
Dear all,
I am looking for a good reference for elliptic regularity in $L^1$. To be more precise
Let $\Omega\subset\mathrm{R}^n$ be a bounded smooth domain, let $A$ be a properly elliptic differenti …
5
votes
3
answers
487
views
Continuity with values in L^2
Hi,
let $T>0$, $\Omega\subset\mathrm{R}^n$ be a bounded smooth domain and suppose
$$u\in L^2(0,T;W^{1,2}(\Omega))\cap L^\infty((0,T)\times\Omega))\ \text{and } \partial_tu\in L^2(0,T;W^{-1,2}(\Omega …
- 3,388
1
vote
Elliptic regularity in $L^1$
I found a reference where elliptic equations in L1 are dealt with: Tanabe, "Functional analytical methods for partialdifferential equations" There it is also explained in what way the boundary values …
- 103