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Results tagged with reference-request
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user 51776
This tag is used if a reference is needed in a paper or textbook on a specific result.
3
votes
1
answer
762
views
Lp estimate for resolvent of Laplace operator
Consider for $1<p<\infty$ operator $A_p:L_p(0,1)\to L_p(0,1), \ D(A_p)=\{u\in W^2_p(0,1): u'(0)=u'(1)=0\}, \ A_pu=u''$, i.e. $L_p$-realisation of the Laplace operator with Neumann bcd on the unit inte …
- 161
3
votes
1
answer
139
views
Compact imbedding - reference request
I am looking for reference to the following imbedding theorem:
Theorem
For any $s>1/2$ fractional Sobolev space $W^{s}_2(0,1)$ imbeds compactly into $C([0,1])$.
I know how to prove it but I need th …
- 161