Results 31 to 40 of about 102,179 (232)
Gevrey smoothing for weak solutions of the fully nonlinear homogeneous Boltzmann and Kac equations without cutoff for Maxwellian molecules [PDF]
, 2015 It has long been suspected that the non-cutoff Boltzmann operator has similar coercivity properties as a fractional Laplacian. This has led to the hope that the homogenous Boltzmann equation enjoys similar regularity properties as the heat equation with ...
Barbaroux, Jean-Marie +3 more
core +3 more sources
Laplacian energy of union and Cartesian product and Laplacian equienergetic graphs [PDF]
Kragujevac Journal of Mathematics, 2015 The Laplacian energy of a graph G with n vertices and m edges is defined as LE(G) = ∑ni=1 |μi-2m/n|, where μ1, μ2,...,μn are the Laplacian eigenvalues of G. If two graphs G1 and G2 have equal average vertex degrees, then LE(G1 ∪ G2) = LE(G1) + LE(G2). Otherwise, this identity is violated. We determine a term Ξ, such that LE(G1) + LE(G2) - Ξ ≤LE(G1 ∪ G2)
Ramane H., Gudodagi G., Gutman, Ivan
openaire +2 more sources
On Relation Between Kirchhoff Index, Laplacian-Energy-Like Invariant and Laplacian Energy of Graphs [PDF]
Bulletin of the Malaysian Mathematical Sciences Society, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Das, Kinkar Ch., Xu, Kexiang
openaire +5 more sources
On the Adjacency, Laplacian, and Signless Laplacian Spectrum of Coalescence of Complete Graphs
Journal of Mathematics, 2016 Coalescence as one of the operations on a pair of graphs is significant due to its simple form of chromatic polynomial. The adjacency matrix, Laplacian matrix, and signless Laplacian matrix are common matrices usually considered for discussion under ...
S. R. Jog, Raju Kotambari
doaj +1 more source
Remark on the Laplacian-energy-like and Laplacian incidence energy invariants of graphs [PDF]
Creative Mathematics and Informatics, 2015 Let G be an undirected connected graph with n vertices and m edges, n ≥ 3, and let µ1 ≥ µ2 ≥ · · · ≥ µn−1 > µn = 0 and ρ1 ≥ ρ2 ≥ · · · ≥ ρn−1 > ρn = 0 be Laplacian and normalized Laplacian eigenvalues of G, respectively. The Laplacian-energy-like (LEL) invariant of graph G is defined as... The Laplacian incidence energy of graph is defined as LIE(
I. Z. MILOVANOVIC +3 more
openaire +1 more source
Entropy of eigenfunctions [PDF]
, 2007 We study the high--energy limit for eigenfunctions of the laplacian, on a compact negatively curved manifold. We review the recent result of Anantharaman-Nonnenmacher giving a lower bound on the Kolmogorov-Sinai entropy of semiclassical measures, and ...
Anantharaman, Nalini +2 more
core +4 more sources
Magnetic spectral bounds on starlike plane domains [PDF]
, 2014 We develop sharp upper bounds for energy levels of the magnetic Laplacian on starlike plane domains, under either Dirichlet or Neumann boundary conditions and assuming a constant magnetic field in the transverse direction.
Laugesen, R. S., Siudeja, B. A.
core +3 more sources
Regularizing effect for some p-Laplacian systems [PDF]
, 2019 We study existence and regularity of weak solutions for the following $p$-Laplacian system \begin{cases} -\Delta_p u+A\varphi^{\theta+1}|u|^{r-2}u=f, \ &u\in W_0^{1,p}(\Omega),\\-\Delta_p \varphi=|u|^r\varphi^\theta, \ &\varphi\in W_0^{1,p}(\Omega), \end{
Durastanti, Riccardo
core +2 more sources
Characterizing trees with large Laplacian energy
Linear Algebra and its Applications, 2014 We investigate the problem of ordering trees according to their Laplacian energy. More precisely, given a positive integer $n$, we find a class of cardinality approximately $\sqrt{n}$ whose elements are the $n$-vertex trees with largest Laplacian energy.
Fritscher, Eliseu +3 more
openaire +2 more sources
International Journal of Robust and Nonlinear Control, EarlyView., 2023 Abstract We propose a hierarchical energy management scheme for aggregating Distributed Energy Resources (DERs) for grid flexibility services. To prevent a direct participation of numerous prosumers in the wholesale electricity market, aggregators, as self‐interest agents in our scheme, incentivize prosumers to provide flexibility. We firstly model the
Xiupeng Chen +3 more
wiley +1 more source