The structure of fractional spaces generated by a two-dimensional neutron transport operator and its applications
DOI10.15352/AOT.1711-1261zbMath1435.47045OpenAlexW2801068580WikidataQ129855346 ScholiaQ129855346MaRDI QIDQ1790583
Abdulgafur Taskin, Allaberen Ashyralyev
Publication date: 2 October 2018
Published in: Advances in Operator Theory (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.aot/1525917619
Hölder spacespositive operatorspositive operatorfractional spaceneutron transport operatorSlobodeckij spaceSobolev-Slobodeckiĭ spaces
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) General theory of partial differential operators (47F05) Green's functions for ordinary differential equations (34B27) Theoretical approximation in context of PDEs (35A35) Linear operators on function spaces (general) (47B38) Positive linear operators and order-bounded operators (47B65) Initial value problems for higher-order parabolic equations (35K30) Operators on Banach spaces (47B01) Transport equations (35Q49)
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Cites Work
- Structure of fractional spaces generated by second order difference operators
- Well-posedness of parabolic difference equations. Transl. from the Russian by A. Iacob
- A note on fractional spaces generated by the positive operator with periodic conditions and applications
- Properties of solutions of ordinary differential equations in banach space
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