Results 71 to 80 of about 233,661 (218)

On Geodesic Completeness for Riemannian Metrics on Smooth Probability Densities

, 2017
The geometric approach to optimal transport and information theory has triggered the interpretation of probability densities as an infinite-dimensional Riemannian manifold.
Bauer, Martin, Joshi, Sarang, Modin, Klas   +2 more
core   +1 more source

On the formulation and investigation of a boundary value problem for a third-order equation of a parabolic-hyperbolic type

Қарағанды университетінің хабаршысы. Математика сериясы
In the paper a novel boundary value problem for a third-order partial differential equation (PDE) of a parabolic-hyperbolic type, within a pentagonal domain consisting of both parabolic and hyperbolic regions was investigated. Such equations are pivotal
М. Мамажанов, К. Рахимов, Х. Шерматова   +2 more
doaj   +1 more source

Kinetics of potassium release in sweet potato cropped soils: a case study in the highlands of Papua New Guinea [PDF]

Solid Earth, 2015
The present study attempts to employ potassium (K) release parameters to identify soil-quality degradation due to changed land use patterns in sweet potato (Ipomoea batatas (L.) Lam) farms of the highlands of Papua New Guinea.
B. K. Rajashekhar Rao
doaj   +1 more source

Wave Solutions

, 2012
In classical continuum physics, a wave is a mechanical disturbance. Whether the disturbance is stationary or traveling and whether it is caused by the motion of atoms and molecules or the vibration of a lattice structure, a wave can be understood as a ...
Christov, Ivan C.
core   +1 more source

A Perturbation Series for Cauchy's Problem for Higher-Order Abstract Parabolic Equations [PDF]

Proceedings of the National Academy of Sciences, 1970
The application of Phillips' perturbation theorem to Cauchy's problem for higher-order parabolic equations is justified by an argument from the theory of Fourier transforms of entire functions.
Donaldson, J. A., Hersh, R.
openaire   +2 more sources

Heat polynomial analogs for higher order evolution equations

Electronic Journal of Differential Equations, 2001
Polynomial solutions analogous to the heat polynomials are demonstrated for higher order linear homogeneous evolution equations with coefficients depending on the time variable.
G. N. Hile, Alexander Stanoyevitch
doaj  

About Bifurcations at Small Perturbations in a Logistic Equation with Delay

Моделирование и анализ информационных систем, 2017
The article considers bifurcation problems for a logistic equation with delay at small perturbations. The most interesting results are for the case when small perturbations contain a large delay.
Sergey A. Kashchenko
doaj   +1 more source

Local solvability of higher order semilinear parabolic equations

Hokkaido Mathematical Journal, 1992
In this paper is considered the parabolic equation \(u_ t = - Pu + f(t,x,d^ mu)\) in \(D^ T\) with initial-boundary conditions \(u(0,x) = u_ 0 (x)\) in \(G\) \(B_ 0u = B_ 1u = \cdots = B_{m - 1} u = 0\) on \(\partial G\), where \(Pu = \sum_{| \alpha |, | \beta | \leq m} ( - 1)^{| \beta |} D^ \beta (a_{\alpha, \beta} (x)D^ \alpha u)\), \(m > 1\), \(G ...
openaire   +3 more sources

Existence of solutions for a higher order non-local equation appearing in crack dynamics

, 2010
In this paper, we prove the existence of non-negative solutions for a non-local higher order degenerate parabolic equation arising in the modeling of hydraulic fractures.
A Mellet, Adachi J I Detournay E, Agranovich M S, Bernis F, Bernis F, Bernis F, Bernis F, Bertozzi A L, Bertsch M, C Imbert, Crouch S L, Dal Passo R, Dal Passo R, Grün G, Grün G, Lions J-L, Peirce A P, Zheltov Y P   +17 more
core   +1 more source

Study of a family of higher order nonlocal degenerate parabolic equations: from the porous medium equation to the thin film equation

, 2015
In this paper, we study a nonlocal degenerate parabolic equation of order {\alpha} + 2 for ...
Tarhini, Rana
core   +2 more sources