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138
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MOC
2010
14 years 10 months ago
Approximation of nonlinear wave equations with nonstandard anisotropic growth conditions
Weak solutions for nonlinear wave equations involving the p(x)-Laplacian, for p : (1, ) are constructed as appropriate limits of solutions of an implicit finite element discretiz...
Jonas Haehnle, Andreas Prohl
112
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MOC
2010
14 years 10 months ago
Choosing the correct elliptic curve in the CM method
We give an elementary way to distinguish between the twists of an ordinary elliptic curve E over Fp in order to identify the one with p+1-2U points, when p = U2 + dV 2 with 2U, 2V ...
Karl Rubin, Alice Silverberg
98
Voted
MOC
2010
14 years 10 months ago
On the span of polynomials with integer coefficients
Following a paper of R. Robinson, we classify all hyperbolic polynomials in one variable with integer coefficients and span less than 4 up to degree 13, and with some additional h...
Stefano Capparelli, Alberto Del Fra, Carlo Sci&ogr...
122
Voted
MOC
2010
14 years 10 months ago
Proving modularity for a given elliptic curve over an imaginary quadratic field
We present an algorithm to determine if the L-series associated to an automorphic representation and the one associated to an elliptic curve over an imaginary quadratic field agree...
Luis Dieulefait, Lucio Guerberoff, Ariel Pacetti
129
Voted
MOC
2010
14 years 10 months ago
Dynamical systems method for solving nonlinear equations with monotone operators
A version of the Dynamical Systems Method (DSM) for solving ill-posed nonlinear equations with monotone operators in a Hilbert space is studied in this paper. An a posteriori stopp...
N. S. Hoang, Alexander G. Ramm