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Using the bootstrap argument and the difference quotient method, we obtain that if aij∈C0,1loc, then u∈W2,ploc for any p<∞.
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Our idea is to use the bootstrap argument to improve the integrable index of X-gradient of weak solutions.
Felsenstein, J. Confidence limits on phylogenies: an approach using the bootstrap.
Felsenstein, J. Confidence Limits on Phylogenies: An Approach Using the Bootstrap.
Felsenstein, J. Confidence-limits on phylogenies - an approach using the bootstrap.
Branching support was evaluated using the bootstrap method.
SEs were calculated using the bootstrap method.
E[ p] is the expected value of p using the bootstrap technique for 100 000 bootstraps.
Node support of phylogenetic tree was assessed using the bootstrap method with 100 bootstrap replicates.
The reliability of internal branches was assessed using the bootstrapping method (400 bootstrap replicates).
Then we use the Sobolev embedding theorem and the bootstrap argument to obtain (L_{omega }^{infty}([s_{0},s_{1}] times[0, omega]) ) estimates.
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