Results 31 to 40 of about 14,112 (178)

A Liouville-Type Theorem for Smooth Metric Measure Spaces [PDF]

Journal of Geometric Analysis, 2011
For smooth metric measure spaces $(M, g, e^{-f} dvol)$ we prove a Liuoville-type theorem when the Bakry-Emery Ricci tensor is nonnegative. This generalizes a result of Yau, which is recovered in the case $f$ is constant. This result follows from a gradient estimate for f-harmonic functions on smooth metric measure spaces with Bakry-Emery Ricci tensor ...
openaire   +3 more sources

On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
wiley   +1 more source

Lp - Liouville theorems for invariant evolution equations

, 2014
Some Liouville-type theorems in Lebesgue spaces for several classes of evolution equations are presented. The involved operators are left invariant with respect to Lie group composition laws.
Alessia E. Kogoj, Kogoj, Alessia E., KOGOJ, ALESSIA ELISABETTA   +2 more
core   +1 more source

A stochastic approach to a priori estimates and Liouville theorems for harmonic maps [PDF]

, 2011
peer reviewedNonlinear versions of Bismut type formulas for the differential of a harmonic map between Riemannian manifolds are used to establish a priori estimates for harmonic maps. A variety of Liouville type theorems is shown to follow as corollaries
Wang, Feng-Yu, Anton Thalmaier, Feng-yu Wang, THALMAIER, Anton   +3 more
core   +1 more source

Quantitative asymptotics for polynomial patterns in the primes

Mathematika, Volume 72, Issue 3, July 2026.
Abstract We prove quantitative estimates for averages of the von Mangoldt and Möbius functions along polynomial progressions n+P1(m),…,n+Pk(m)$n+P_1(m),\ldots, n+P_k(m)$ for a large class of polynomials Pi$P_i$. The error terms obtained save an arbitrary power of logarithm, matching the classical Siegel–Walfisz error term.
Lilian Matthiesen, Joni Teräväinen, Mengdi Wang   +2 more
wiley   +1 more source

Matsumura‐Type Estimates and Global Solutions of a Fractional Wave Equation With Nonlocal Nonlinearity

Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9967-9983, June 2026.
ABSTRACT The main results of this paper are the global existence and long time behavior of solutions of a fractional wave equation with a nonlocal nonlinearity. The techniques in this work rely on norm estimates of the solutions of εutt+ut+(−Δ)βu=0,u(0,x)=φ(x),ut(0,x)=ψ(x),$$ \varepsilon {u}_{tt}+{u}_t+{\left(-\Delta \right)}^{\beta }u=0,\kern1em u ...
Ibrahim Ahmad Suleman, Mokhtar Kirane
wiley   +1 more source

Liouville type theorem for Fractional Laplacian system

Communications on Pure and Applied Analysis, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Advancing Heliophysics and Space Weather Modeling Through Open Science

Space Weather, Volume 24, Issue 6, June 2026.
Abstract We present a community‐wide effort to develop a strategy and action plan to advance heliophysics and space weather modeling through open science. While open science has the potential to enhance the quality and pace of scientific discovery, its application to scientific modeling requires more careful consideration regarding open data and open ...
C. Corti, M. M. Kuznetsova, M. A. Reiss, J. Yue, J. Karpen, C. N. Arge, F. Bacchini, C. Bard, S. Bruinsma, R. M. Caplan, L. K. S. Daldorff, P. J. Deka, C. R. DeVore, S. Elvidge, N. Ganushkina, J. D. Huba, B. V. Jackson, V. Jordanova, J. A. Linker, H. Liu, J. G. Luhmann, S. Markidis, P. Mayank, V. Merkin, N. Moens, D. Odstrcil, Y. A. Omelchenko, M. Palmroth, S. Poedts, A. J. Ridley, Y. Shou, V. Tenishev, D. R. Themens, G. Toth, W. Wang, R.‐P. Wilhelm, M. A. Young, B. Cecconi, M.‐Y. Chou, D. De Zeeuw, G. L. Delzanno, C. Didigu, M. El Alaoui, S. Fung, J. Green, Z. Huang, L. K. Jian, L. J. Landwer, M. Lesko, P. MacNeice, A. Masson, M. L. Mays, P. M. Mehta, M. S. Miesch, E. Palmerio, M. Petrenko, E. Provornikova, L. Rastätter, L. Rusaitis, N. Sachdeva, E. Samara, D. Sur, A. Taktakishvili, J. Topper, T. Tsui, C. Verbeke, J. Wang, C. Wiegand, M. Wiltberger, Y. Zheng, M. M. Bisi, M. K. Georgoulis, T. Kodikara, T. Pulkkinen, A. Chartier, D. da Silva, A. Faturahman, K. Garcia‐Sage, D. Kondrashov, V. E. Ledvina, W. Liu, C. Pandey, E. Resnick, C. Shi, R. S. Weigel, K. Whitman, I. Zakharenkova, K. Zhang   +87 more
wiley   +1 more source

Rigidity of balls in the solid mean value property for polyharmonic functions

Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract We show that balls are the only open bounded domains for which the mean value formula for polyharmonic functions holds. We do so by adapting an argument of Ü. Kuran for harmonic functions. We also, provide a quantitative version of the same result.
Nicola Abatangelo
wiley   +1 more source

A new kind of uniqueness theorems for inverse Sturm-Liouville problems [PDF]

, 2017
We prove Marchenko-type uniqueness theorems for inverse Sturm-Liouville problems.
Yuri Ashrafyan
core   +1 more source