scholarly journals Regularity in generalized Morrey spaces of solutions to higher order nondivergence elliptic equations with VMO coefficients

2019 ◽  
pp. 1-17 ◽  
Author(s):  
Tahir Gadjiev ◽  
Shahla Galandarova ◽  
Vagif Guliyev
Keyword(s):  
Elliptic Equations ◽  
Morrey Spaces ◽  
Higher Order ◽  
Generalized Morrey Spaces ◽  
Vmo Coefficients

Elliptic equations with discontinuous coefficients in generalized Morrey spaces

2017 ◽  
Vol 3 (3) ◽  
pp. 728-762 ◽  
Author(s):  
Giuseppe Di Fazio ◽  
Denny Ivanal Hakim ◽  
Yoshihiro Sawano
Keyword(s):  
Elliptic Equations ◽  
Discontinuous Coefficients ◽  
Morrey Spaces ◽  
Generalized Morrey Spaces

Regularity in Morrey Spaces of Strong Solutions to Nondivergence Elliptic Equations with VMO Coefficients

1998 ◽  
Vol 5 (5) ◽  
pp. 425-440
Author(s):  
Dashan Fan ◽  
Shanzhen Lu ◽  
Dachun Yang
Keyword(s):  
Elliptic Equations ◽  
Singular Integrals ◽  
Strong Solutions ◽  
Morrey Spaces ◽  
Vmo Coefficients

Abstract In this paper, by means of the theories of singular integrals and linear commutators, the authors establish the regularity in Morrey spaces of strong solutions to nondivergence elliptic equations with VMO coefficients.

Estimates for nondivergence elliptic equations with VMO coefficients in generalized grand Morrey spaces

2013 ◽  
Vol 59 (8) ◽  
pp. 1169-1184 ◽  
Author(s):  
Vakhtang Kokilashvili ◽  
Alexander Meskhi ◽  
Humberto Rafeiro
Keyword(s):  
Elliptic Equations ◽  
Morrey Spaces ◽  
Vmo Coefficients

scholarly journals The Uniformly Parabolic Equations of Higher Order with Discontinuous Data in Generalized Morrey Spaces and Elliptic Equations in Unbounded Domains

2021 ◽  
Author(s):  
Tair Gadjiev ◽  
Konul Suleymanova
Keyword(s):  
Parabolic Equations ◽  
Unbounded Domains ◽  
Morrey Spaces ◽  
Higher Order ◽  
Bounded Mean Oscillation ◽  
Bmo Functions ◽  
Mean Oscillation ◽  
Sublinear Operators ◽  
Vmo Coefficients ◽  
Discontinuous Data

We study the regularity of the solutions of the Cauchy-Dirichlet problem for linear uniformly parabolic equations of higher order with vanishing mean oscillation (VMO) coefficients. We prove continuity in generalized parabolic Morrey spaces Mp,φ of sublinear operators generated by the parabolic Calderon-Zygmund operator and by the commutator of this operator with bounded mean oscillation (BMO) functions. We obtain strong solution belongs to the generalized Sobolev-Morrey space Wp,φm,1∘Q. Also we consider elliptic equation in unbounded domains.

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