Geodesic
Well-posedness of heat and wave equations generated by Rubin's q-difference operator in Sobolev spaces
Filomat, Tome 37 (2023) no. 17, p. 5799

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

In this paper, we investigate difference-differential operators of parabolic and hyperbolic types. Namely, we consider non-homogenous heat and wave equations for Rubin's difference operator. Well-posedness results are obtained in appropriate Sobolev type spaces. In particular, we prove that the heat and wave equations generated by Rubin's difference operator have unique solutions. We even show that these solutions can be represented by explicit formulas.
DOI : 10.2298/FIL2317799S
Classification : 34C10, 39A10, 26D15
Keywords: Rubin difference operator, Heat equation, wave equation, A priori estimate, q-derivative, q-calculus, Well-posedness, Sobolev type space, q-difference operator 
Serikbol Shaimardan; Lars-Erik Persson; Niyaz Tokmagambetov. Well-posedness of heat and wave equations generated by Rubin's q-difference operator in Sobolev spaces. Filomat, Tome 37 (2023) no. 17, p. 5799 . doi: 10.2298/FIL2317799S
@article{10_2298_FIL2317799S,
     author = {Serikbol Shaimardan and Lars-Erik Persson and Niyaz Tokmagambetov},
     title = {Well-posedness of heat and wave equations generated by {Rubin's} q-difference operator in {Sobolev} spaces},
     journal = {Filomat},
     pages = {5799 },
     year = {2023},
     volume = {37},
     number = {17},
     doi = {10.2298/FIL2317799S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2317799S/}
}
TY  - JOUR
AU  - Serikbol Shaimardan
AU  - Lars-Erik Persson
AU  - Niyaz Tokmagambetov
TI  - Well-posedness of heat and wave equations generated by Rubin's q-difference operator in Sobolev spaces
JO  - Filomat
PY  - 2023
SP  - 5799 
VL  - 37
IS  - 17
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2317799S/
DO  - 10.2298/FIL2317799S
LA  - en
ID  - 10_2298_FIL2317799S
ER  - 
%0 Journal Article
%A Serikbol Shaimardan
%A Lars-Erik Persson
%A Niyaz Tokmagambetov
%T Well-posedness of heat and wave equations generated by Rubin's q-difference operator in Sobolev spaces
%J Filomat
%D 2023
%P 5799 
%V 37
%N 17
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2317799S/
%R 10.2298/FIL2317799S
%G en
%F 10_2298_FIL2317799S

Cité par Sources :