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We study dynamics near the threshold for blowup in the focusing nonlinear Klein-Gordon equa- tion utt −uxx +u−|u|2 u = 0 on the line. Using mixed numerical and analytical methods we find ...
Our paper is devoted to the study of the holonomy groups of Finsler surfaces using the methods of infinite dimensional Lie theory. The notion of infinitesimal holonomy algebra will be introduced, by t...
In this paper, we discuss the self-shrinking systems in higher codimensional spaces. We mainly obtain several Bernstein type results and a sharp growth estimate.MSC 2010: Primary 53C44.
Let A be a connected commutative C-algebra with derivation D,G a finite linear automorphism group of A which preserves D, and R = AG the fixed point subalgebra of A under the action of G. We show that...
It is shown that for every K > 0 and " ∈ (0, 1/2) there exist N = N(K) ∈ N and D = D(K, ") ∈ (1,∞) with the following properties. For every separable metric space (X, d) with doubling constant at most...
We explore the non-equilibrium escape dynamics of long-range interacting ions in one-dimensional traps. The phase space of the few ion setup and its impact on the escape properties are studied.
Consider an automorphism group of a finite-dimensional algebra. S. Halperin conjectured that the unity component of this group is solvable if the algebra is a complete intersection.
We apply ideas from C-algebra to the study of disordered topological insulators.We extract certain almost commuting matrices from the free Fermi Hamiltonian,describing band projected coordinate matri...
We represent an algorithm reducing a big class of systems of (M + 1)-dimensional scalar nonlinear partial differential equations (PDEs) to the systems ofM-dimensional first order PDEs. Thus, we integr...
We prove Holder continuity for solutions to the n-dimensional H-System assuming logarithmic higher integrability of the solution.
Let Q be a compact, connected n-dimensional Riemannian manifold, and assume that the geodesic flow is toric integrable. If n 6= 3 is odd, or if 1(Q) is infinite, we show that the cosphere bundle of Q...
We introduce and study families of finite-dimensional Hopf algebras with the Chevalley property arising as twistings of quantum linear spaces. These Hopf algebras generalize the examples introduced in...
We establish some new results about the 􀀀-limit, with respect to the L1-topology, of two di erent (but related) phase- eld approximations of the so-called Euler's Elastica Bending Energy for ...
We prove Ma˜n´e’s conjectures ([Mn96]) in the context of codimension one Aubry-Mather theory
For a class of nonnegative, range-1 pair potentials in one dimensional continuous space we prove that any classical ground state of lower density  1 is a tower-lattice, i.e., a lattice formed by towe...

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