The Structure of Fractional Spaces Generated by a Two-dimensional Difference Operator in a Half Plane
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DOI: 10.1007/s11253-018-1561-5
Abstract: We consider a difference-operator approximation Ahx$$ {A}_h^x $$ of the differential operatorAxux=−a11xux1x1x−a22xux2x2x+σux,x=x1x2,$$ {A}^xu(x)=-{a}_{11}(x){u}_{x_1{x}_1}(x)-{a}_{22}(x){u}_{x_2{x}_2}(x)+\sigma u(x),\kern1em x=\left({x}_1,{x}_2\right), $$defined in the region ℝ+ × ℝ with the boundary condition u0x2=0,x2∈ℝ.$$ u\left(0,{x}_2\right)=0,\kern1em {x}_2\in \mathbb{R}. $$ Here, the coefficients aii(x),… read more here.
Keywords: difference; difference operator; spaces generated; structure fractional ... See more keywords
Topologies on normed spaces generated by porosity
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DOI: 10.2298/fil1901335k
Abstract: In the present paper we study properties of porouscontinuous functions defined by J. Borsı́k and J. Holos in 2014. We find maximal additive classes for different families of these functions. Furthermore, we define new families… read more here.
Keywords: porosity; spaces generated; normed spaces; generated porosity ... See more keywords