SYMMETRY GROUP ANALYSIS OF WEAK SOLUTIONS

Symmetry group analysis and invariant solutions of hydrodynamic-type systems

We study point and higher symmetries of systems of the hydrodynamic type with and without an explicit dependence on t,x. We consider such systems which satisfy the existence conditions for an infinite-dimensional group of hydrodynamic symmetries which implies linearizing transformations for these systems. Under additional restrictions on the systems, we obtain recursion operators for symmetries...

Symmetry Groups and Group Invariant Solutions of Partial Differential Equations

Symmetry classes of polynomials associated with the dihedral group

‎In this paper‎, ‎we obtain the dimensions of symmetry classes of polynomials associated with‎ ‎the irreducible characters of the dihedral group as a subgroup of‎ ‎the full symmetric group‎. ‎Then we discuss the existence of o-basis‎ ‎of these classes‎.

Charge Symmetry of Weak Interactions

Mev. The quantity b& has been unobserved in lower energy m experiments partly because the data were analyzed under the assumption that it is zero. On the other hand, (3.7) predicts, even with an f'as low as 0.08, a value of —0.166&0.014 for br+2ats+arr. This would seem to imply, if the dispersion relations are correct, that one or two of the quantities b1, u13, and a11, are much larger than has...

Weak differentiability of solutions to SDEs with semi-monotone drifts

‎In this work we prove Malliavin differentiability for the solution to an SDE with locally Lipschitz and semi-monotone drift‎. ‎To prove this formula‎, ‎we construct a sequence of SDEs with globally Lipschitz drifts and show that the $p$-moments of their Malliavin derivatives are uniformly bounded‎.