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He thereby extended his method to the investigation of boundary value problems of couple-stress elasticity, thermoelasticity and other generalized models of an elastic
The main objective of this paper is to establish explicit bounds on certain inte- gral inequalities and their discrete analogues which can be used as tools in the study of some
Section 3 is first devoted to the study of a-priori bounds for positive solutions to problem (D) and then to prove our main theorem by using Leray Schauder degree arguments.. To show
discrete ill-posed problems, Krylov projection methods, Tikhonov regularization, Lanczos bidiago- nalization, nonsymmetric Lanczos process, Arnoldi algorithm, discrepancy
Beyond proving existence, we can show that the solution given in Theorem 2.2 is of Laplace transform type, modulo an appropriate error, as shown in the next theorem..
While conducting an experiment regarding fetal move- ments as a result of Pulsed Wave Doppler (PWD) ultrasound, [8] we encountered the severe artifacts in the acquired image2.
In section 4 we use this coupling to show the uniqueness of the stationary interface, and then finish the proof of theorem 1.. Stochastic compactness for the width of the interface
In the proofs of these assertions, we write down rather explicit expressions for the bounds in order to have some qualitative idea how to achieve a good numerical control of the