Results 21 to 30 of about 304 (131)
Journal of Morphology, Volume 283, Issue 6, Page 693-770, June 2022., 2022 The ant abdomen is critically understudied, despite its functional, evolutionary, and systematic importance. Using physical dissection, scanning electron microscope, histology, and microcomputed tomography, we provide the first complete treatment of the skeletomusculature, exocrine glands, and other major organs of the abdomen.
Ziv E. Lieberman +3 more
wiley +1 more source
A nondestructive method of calculating the wing area of insects
Ecology and Evolution, Volume 12, Issue 4, April 2022., 2022 Forewing area was found to be proportional to the product of forewing length and width for each of three cicada species, which followed the Montgomery equation. The mixed dataset of the three cicada species also followed the Montgomery equation, which suggests that this equation can apply to the calculation of wing area for other insects with similar ...
Kexin Yu +6 more
wiley +1 more source
Regularity for a Nonlinear Discontinuous Subelliptic System with Drift on the Heisenberg Group
Advances in Mathematical Physics, Volume 2022, Issue 1, 2022., 2022 In this paper, we prove the partial Hölder regularity of weak solutions and the partial Morrey regularity to horizontal gradients of weak solutions to a nonlinear discontinuous subelliptic system with drift on the Heisenberg group by the A‐harmonic approximation, where the coefficients in the nonlinear subelliptic system are discontinuous and satisfy ...
Junli Zhang +2 more
wiley +1 more source
Papers in Palaeontology, Volume 7, Issue 3, Page 1657-1698, August 2021., 2021 Abstract New, accurately located and well‐preserved agnostid trilobite material has been collected from the type locality of the Drumian (middle Cambrian, Miaolingian) Manuels River Formation, Newfoundland, Canada. The well‐exposed grey to black shales containing the fauna were deposited on the former microcontinent Avalonia.
Anne Hildenbrand +4 more
wiley +1 more source
Attractors for a class of semi-linear degenerate parabolic equations [PDF]
, 2013 We consider degenerate parabolic equations of the form ∂tu = Δλu + f(u) u|∂Ω = 0, u|t=0 = u0 in a bounded domain Ω ⊂N, where Δλ is a subelliptic operator of the type (Formula presented.) We prove global existence of solutions and characterize their ...
Sonner, Stefanie +6 more
core +1 more source
Some remarks on degenerate hypoelliptic Ornstein-Uhlenbeck operators [PDF]
, 2014 We study degenerate hypoelliptic Ornstein–Uhlenbeck operators in spaces with respect to invariant measures. The purpose of this article is to show how recent results on general quadratic operators apply to the study of degenerate hypoelliptic Ornstein ...
Pavliotis, Grigorios +8 more
core +1 more source
Inverse problems of identifying the time-dependent source coefficient for subelliptic heat equations [PDF]
, 2023 We discuss inverse problems of determining the time-dependent source coefficient for a general class of subelliptic heat equations. We show that a single data at an observation point guarantees the existence of a (smooth) solution pair for the inverse ...
Ozawa, Tohru +2 more
core +1 more source
Some Properties of Solutions to Weakly Hypoelliptic Equations
International Journal of Differential Equations, 2013 A linear different operator L is called weakly hypoelliptic if any local solution u of Lu=0 is smooth. We allow for systems, that is, the coefficients may be matrices, not necessarily of square size.
Christian Bär
doaj +1 more source
Subelliptic Poincaré inequalities: the case p < 1 [PDF]
, 1995 We obtain (weighted) Poincaré type inequalities for vector fields satisfying the Hörmander condition for p < 1 under some assumptions on the subelliptic gradient of the function.
Koskela, P. +7 more
core +1 more source
Degenerate Sobolev spaces and regularity of subelliptic equations [PDF]
Transactions of the American Mathematical Society, 2009 We develop a notion of degenerate Sobolev spaces naturally associated with nonnegative quadratic forms that arise from a large class of linear subelliptic equations with rough coefficients. These Sobolev spaces allow us to make the widest possible definition of a weak solution that leads to local Hölder continuity of solutions, extending our results in
Sawyer, Eric T., Wheeden, Richard L.
openaire +1 more source