Borsten, L. Duff, M. J. Fernández-Melgarejo, J. J. Marrani, A. Torrente-Lujan, E.
Published in
Journal of High Energy Physics

We study General Freudenthal Transformations (GFT) on black hole solutions in Einstein-Maxwell-Scalar (super)gravity theories with global symmetry of type E7. GFT can be considered as a 2-parameter, a, b ∈ ℝ, generalisation of Freudenthal duality: x→xF=ax+bx˜\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfont...

Prové, Charlotte De Krom, Michiel Dessein, Joost

Local food systems are increasingly receiving political support across the globe. As part of this trend, food policy councils (FPCs) are generally considered to be ideal governance platforms in the transition to just, sustainable and democratic localized food systems. However, insight into the governance processes to transform local food systems is...

Cardona Sanchez, Duvan

In this article we obtain Strichartz estimates for a Schrodinger equation associated with the harmonic oscillator and the Laplacian. Our main tools are embeddings between Lebesgue and Triebel-Lizorkin spaces.

ATHAVALE, A

Several interesting results exist in the literature on subnormal operator tuples having their spectral properties tied to the geometry of strictly pseudoconvex domains or to that of bounded symmetric domains in C-n. We introduce a class Omega((n)) of convex domains in C-n which, for n >= 2, is distinct from the class of strictly pseudoconvex domain...

Ruzhansky, M Tokmagambetov, N

In this paper we study the Cauchy problem for the semilinear damped wave equation for the sub-Laplacian on the Heisenberg group. In the case of the positive mass, we show the global in time well-posedness for small data for power like nonlinearities. We also obtain similar well-posedness results for the wave equations for Rockland operators on gene...

Delgado, Julio Ruzhansky, Michael
Published in
Journal d'Analyse Mathématique

The notion of invariant operators, or Fourier multipliers, is discussed for densely defined operators on Hilbert spaces, with respect to a fixed partition of the space into a direct sum of finite-dimensional subspaces. As a consequence, given a compact manifold M endowed with a positive measure, we introduce a notion of the operator’s full symbol a...

Ruzhansky, Michael Suragan, Durvudkhan

In this note we show a comparison principle for nonlinear heat Rockland operators on graded groups. We give a simple proof for it using purely algebraic relations. As an application of the established comparison principle we prove the global in $t$-boundedness of solutions for a class of nonlinear equations for the heat $p$-sub-Laplacian on stratif...

Grivaux, Julien
Published in
Mathematische Zeitschrift

If X is a rational surface without nonzero holomorphic vector field and f is an automorphism of X, we study in several examples the Zariski tangent space of the local deformation space of the pair (X, f).

Debrouwere, Andreas Vernaeve, Hans Vindas Diaz, Jasson

We construct embeddings of spaces of non-quasianalytic ultradistributions into differential algebras enjoying optimal properties in view of a Schwartz type impossibility result, also shown in this article. We develop microlocal analysis in these algebras consistent with the microlocal analysis in the corresponding spaces of ultradistributions.

Ruzhansky, Michael Suragan, Durvudkhan

In this note we show a comparison principle for nonlinear heat Rockland operators on graded groups. We give a simple proof for it using purely algebraic relations. As an application of the established comparison principle we prove the global in t-boundedness of solutions for a class of nonlinear equations for the heat p-sub-Laplacian on stratified ...