Browsing Mathematics by Issue Date

SMOOTHING AND STRICHARTZ ESTIMATES FOR DEGENERATE SCHR ODINGER-TYPE EQUATIONS

Ruzhansky, M; Federico, S (Elsevier, 07-02-2024)

In this paper we focus on the validity of some fundamental estimates for time-degenerate Schrödinger-type operators. On the one hand we derive global homogeneous smoothing estimates for operators of any order by means of ...

Hardy-Sobolev-Rellich, Hardy-Littlewood-Sobolev and Caffarelli-Kohn-Nirenberg inequalities on general Lie groups

Ruzhansky, M; Yessirkegenov, N (09-05-2024)

In this paper, we establish a number of geometrical inequalities such as Hardy, Sobolev, Rellich, Hardy–Littlewood–Sobolev, Caffarelli–Kohn–Nirenberg, Gagliardo-Nirenberg inequalities and their critical versions for an ...

BOUNDEDNESS OF THE DYADIC MAXIMAL FUNCTION ON GRADED LIE GROUPS

Ruzhansky, M; CARDONA, D; DELGADO, J (Oxford University Press, 14-06-2024)

Schrödinger equation for Sturm-Liouville operator with singular propagation and potential

Ruzhansky, M; Yeskermessuly, A (EMS Press, 16-04-2024)

In this paper, we consider an initial/boundary value problem for the Schrödinger equation with the Hamiltonian involving the fractional Sturm–Liouville operator with singular propagation and potential. To construct a ...

Explosive cooperation in social dilemmas on higher-order networks

Latora, V; Civilini, A; Battiston, F; Gomez-Gardenes, J; Sadekar, O (American Physical Society, 16-04-2024)

Understanding how cooperative behaviors can emerge from competitive interactions is an open problem in biology and social sciences. While interactions are usually modeled as pairwise networks, the units of many real-world ...