Marine Anoxia and Ocean Acidification During the End‐Permian Extinction
Exploring the links between Large Igneous Provinces and dramatic environmental impact
An emerging consensus suggests that Large Igneous Provinces (LIPs) and Silicic LIPs (SLIPs) are a significant driver of dramatic global environmental and biological changes, including mass extinctions.
Ying Cui +4 more
wiley +5 more sources
Weighted Sobolev inequality in Musielak–Orlicz space
Let α, β, p and q be all variable exponents. Our aim in this paper is to deal with weighted Sobolev inequality for Riesz potentials of order α with functions f in Musielak–Orlicz spaces Lp,q,β(Rn) of variable exponent.
Tetsu Shimomura +3 more
core +3 more sources
Geometric ergodicity in a weighted sobolev space [PDF]
For a discrete-time Markov chain X = [X(t)] evolving on Rl with transition kernel P, natural, general conditions are developed under which the following are established: (i) The transition kernel P has a purely discrete spectrum, when viewed as a linear ...
Devraj, A, Meyn, S, ,, Kontoyiannis, I
core +5 more sources
Estimate of the norm of the Lagrange interpolation operator in the multidimensional weighted Sobolev space [PDF]
© 2016, Pleiades Publishing, Ltd.An estimate of the norm of the Lagrange interpolation operator in the multidimensional weighted Sobolev space is obtained.
Fedotov A.
exaly +1 more source
On multipliers in weighted Sobolev spaces. Part I
Let X, Y be Banach spaces whose elements are functions y : Ω → R. We say that a function z : Ω → R is apointwise multiplier on the pair (X, Y ), if T x = zx ∈ Y and the operator T : X → Y is bounded. M(X → Y )denotes the multiplier space on the pair (X,
L. Kussainova, A. Myrzagaliyeva
doaj +2 more sources
On multipliers in weighted Sobolev spaces. Part II
Let X, Y be Banach spaces whose elements are functions y : Ω → R. We say that a function z : Ω → R is apointwise multiplier on the pair (X, Y ), if T x = zx ∈ Y and the operator T : X → Y is bounded. M (X → Y )denotes the multiplier space on the pair (X,
A. Myrzagaliyeva
doaj +2 more sources
On the approximation of solutions of one singular differential equation on the axis [PDF]
In this paper we study the problem of the best approximation by linear methods of solutions to one Triebel-type equation. This problem was solved by using estimates of the linear widths of the unit ball in corresponding spaces of differentiable ...
A.S. Kassym, L.K. Kussainova
doaj +3 more sources
A new approach to weighted Sobolev spaces. [PDF]
Abstract We present in this paper a new way to define weighted Sobolev spaces when the weight functions are arbitrary small. This new approach can replace the old one consisting in modifying the domain by removing the set of points where at least one of the weight functions is very small.
Kebiche D.
europepmc +7 more sources
Anisotropic Sobolev Spaces with Weights
We study Sobolev spaces with weights in the half-space $\mathbb{R}^{N+1}_+=\{(x,y): x \in \mathbb{R}^N, y>0\}$, adapted to the singular elliptic operators \begin{equation*} \mathcal L =y^{α_1}Δ_{x} +y^{α_2}\left(D_{yy}+\frac{c}{y}D_y -\frac{b}{y^2}\right). \end{equation*}
Metafune G., Negro L., Spina C.
openaire +3 more sources
On Γ-convergence of integral functionals defined on various weighted Sobolev spaces
Розглянуто ваговi простори Соболєва, пов'язані з послідовністю n-вимірних областей. Доведено теорему про вибір із послідовності інтегральних функціоналів, визначених на розглядуваних просторах, підпослідовності, що Γ-збігається до інтегрального ...
O A Rudakova
exaly +3 more sources

