1,720,982 research outputs found
Fortuna e crisi del governo misto nella costituzione inglese
No full textIl diritto scritto nella costruzione dell'Unione europea: le forme della normazione costituzionale, il sistema delle fonti ordinarie, le questioni di tecnica normativa
Approximate controllability for nonlinear degenerate parabolic problems with bilinear control
No full textIn this paper, we study the global approximate multiplicative controllability for nonlinear degenerate parabolic Cauchy-Neumann problems. First, we obtain embedding results for weighted Sobolev spaces, that have proved decisive in reaching well-posedness for nonlinear degenerate problems. Then, we show that the above systems can be steered in L-2 from any nonzero, nonnegative initial state into any neighborhood of any desirable nonnegative target-state by bilinear piecewise static controls. Moreover, we extend the above result relaxing the sign constraint on the initial data. (C) 2014 Elsevier Inc. All rights reserved
Profili di tecnica redazionale nell'aggiornamento della Costituzione svizzera
No full textIl diritto scritto nella costruzione dell'Unione europea: le forme della normazione costituzionale, il sistema delle fonti ordinarie, le questioni di tecnica normativa
Differentiabilty and partial hölder continuity of solutions of nonlinear elliptic systems
No full textThe authors continue the study of regularity properties for
solutions of elliptic systems started in \cite{duke} and continued
\cite{REdin}, proving, in a bounded open set of \rea^n,
local differentiability and partial H\"older continuity of the
weak solutions u of nonlinear elliptic systems of %second GF26/07/10
order in divergence form
\begin{equation*}%\label{eq01}
\sum_{|\alpha|\leq m }(-1)^{|\alpha|} D^\alpha \, a^\alpha \left(x, %u,
Du \right) = 0.
\end{equation*}
Specifically, are generalized the results obtained by Campanato
and Cannarsa, contained in \cite{vm06}, % concerned with the problem m = 1, GF26/07/10
under the hypothesis that the coefficient are strictly monotone with nonlinearity q = 2
Well-posedness for the backward problems in time for general time-fractional diffusion equation
Get PDFIn this article, we consider an evolution partial differential equation with Caputo time-derivative with the zero Dirichlet boundary condition: where 0< alpha < 1 and the principal part , is a non-symmetric elliptic operator of the second order. Given a source F, we prove the well-posedness for the backward problem in time and our result generalizes the existing results assuming that is symmetric. The key is a perturbation argument and the completeness of the generalized eigenfunctions of the elliptic operator
Differentiability of solutions of nonlinear elliptic systems of order 2m
No full textThe authors investigate differentiability in generalized Sobolev Spaces of the solutions of
nonlinear parabolic systems of order in divergence form
of the following type
\begin{equation*}%\label{eq01}
\sum_{|\alpha|\leq m }(-1)^{|\alpha|} D^\alpha \, a^\alpha
\left(X, Du \right)\,+\,\frac{\partial\,u }{\partial\,t} = 0.
\end{equation*}
The results are achieved inspired by the paper \cite{mama08} and
the methods there applied.
This note can be viewed as a continuation of the study of
regularity properties for solutions of systems started in
\cite{FR2}, \cite{duke}, \cite{dcds} and continued in \cite{FR3} and also as a
generalization of the paper \cite{FR2} where regularity
properties of the solutions of nonlinear elliptic systems with
quadratic growth are reached
Conditional stability for an inverse source problem and an application to the estimation of air dose rate of radioactive substances by drone data
Get PDFWe consider the density field generated by a volume source in which is a domain in . For two disjoint segments on a straight line in , we establish a conditional stability estimate of H"older type in determining on by data on . This is a theoretical background for real-use solutions for the determination of air dose rates of radioactive substance at the human height level by high-altitude data. The proof of the stability estimate is based on the harmonic extension and the stability for line unique continuation of a harmonic function
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