Local Boundary Controllability in Classes of Differentiable Functions for the Wave Equation
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DOI: 10.1007/s10958-019-04259-0
Abstract: The well-known fact following from the Holmgren-John-Tataru uniqueness theorem is a local approximate boundary L2-controllability of the dynamical system governed by the wave equation. Generalizing this result, we establish the controllability in certain classes of… read more here.
Keywords: differentiable functions; controllability; boundary controllability; wave equation ... See more keywords
Estimation of the Best Bilinear Approximations for the Classes of (ψ, Β)-Differentiable Periodic Multivariable Functions
Sign Up to like & getrecommendations! Published in 2018 at "Ukrainian Mathematical Journal"
DOI: 10.1007/s11253-018-1522-z
Abstract: Order estimates are established for the best bilinear approximations of 2d-variable functions fx−y,x,y∈πd,πd=∏j=1d−ππ$$ f\left(x-y\right),x,y\in {\uppi}_d,{\uppi}_d=\prod {}_{j=1}^d\left[-\uppi, \uppi \right] $$, formed by d-variable functions fx∈Lβ,pψ$$ f(x)\in {L}_{\beta, p}^{\psi } $$by the shifts of their argument x ∈ πd… read more here.
Keywords: estimation best; approximations classes; differentiable periodic; bilinear approximations ... See more keywords