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An authorizable and preprocessable data transmission scheme based on elliptic curves. [PDF]

Sci Rep
Zhu Z, Zhao L, Pan Y, Lu X, Wang Z, Meng F.   +5 more
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Generalized potentials of double layer for second order elliptic systems

Научные ведомости Белгородского государственного университета. Серия: Математика. Физика, 2009
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Strong unique continuation property for some second order elliptic systems

Strong unique continuation property for some second order elliptic systems
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Weighted Positivity of Second Order Elliptic Systems

Potential Analysis, 2007
Integral inequalities that concern the weighted positivity of a differential operator have important applications in qualitative theory of elliptic boundary value problems. Despite the power of these inequalities, however, it is far from clear which operators have this property.
G. Luo, V. G. Maz’ya
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Twice Periodic Solutions of a Nonlinear Elliptic Second-Order Systems

Lobachevskii Journal of Mathematics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Safarov, D. S., Shodiev, M. S.
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Multigrid for second‐order ADN elliptic systems

Numerical Linear Algebra with Applications, 2019
SummaryThis paper theoretically examines a multigrid strategy for solving systems of elliptic partial differential equations (PDEs) introduced in the work of Lee. Unlike most multigrid solvers that are constructed directly from the whole system operator, this strategy builds the solver using a factorization of the system operator. This factorization is
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Non variational basic elliptic systems of second order

Rendiconti del Seminario Matematico e Fisico di Milano, 1990
The author considers fully nonlinear nonvariational elliptic systems of the type \[ a(H(u))=f \quad \text{in }\Omega \subset \mathbb{R}^ n, \tag{1} \] where \(u:\Omega \to \mathbb{R}^ N\) is vector valued, and \(H(u):=\{D_ iD_ ju\}\) \((i,j=1,\dots,n)\) is the matrix of the second partial derivatives of \(u\).
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Second-order elliptic systems in the half-plane

Izvestiya: Mathematics, 2006
We consider boundary-value problems in the upper half-plane for second-order elliptic systems with constant higher coefficients. Using the Bitsadze transformation, we reduce these problems to equivalent problems for analytic functions. This approach enables us to obtain explicit formulae for the solutions of basic boundary-value problems and to study ...
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On the complex spectra of second order elliptic systems

Results in Mathematics, 1989
The author studies the complex spectra of second order elliptic systems \[ Lu\equiv -A_{ij}(x)u_{,ij}+B_ i(x),u_{,i}+C(x)u=\lambda M(x)u\quad in\quad \Omega,\quad u=0\quad on\quad \partial \Omega, \] \(\Omega \subset {\mathbb{R}}^ n\) a bounded \(C^{2+\theta}\)-domain, \(A_{ij}\), \(B_ i\), C, M are \(N\times N\)-matrices, \(A_{ij}\) satisfies \(Re a^{\
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