Computing upper and lower bounds on linear functional outputs from linear coercive partial differential equations

An important tool in the rigorous study of differential equations with a small param- eter is the method of averaging, which is well known for ordinary differential equa- tions [1,

Schwarz, Eriopho r um angustifolium Honck., Gentiana bavarica L., Juncus articula- tus L., Juncus triglumis L., Saxdraga aizoides L., Saxifraga stellaris L.,

They clarified that the existence of non-trivial solutions depends on the algebraic properties of some related families of parameters.. The problem is to find the necessary and

(It is easy to see that every solution on K can be extended to C as a solution.) Let S 1 denote the set of additive solutions defined on K. This implies that if S is

On another hand the case where λ < λ 1 and the right hand side is critical has been studied by Hebey and Vaugon in [12], see also Demengel and Hebey [11] for the p-Laplacian

We consider the radial free wave equation in all dimensions and derive asymptotic formulas for the space partition of the energy, as time goes to infinity.. We show that the

It can be observed that only in the simplest (s = 5) linear relaxation there is a small difference between the instances with Non-linear and Linear weight functions: in the latter

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