O. Chkadua

Analysis of direct boundary-domain integral equations for a mixed BVP with variable coefficient, I: Equivalence and invertibility

O. Chkadua, Sergey E. Mikhailov, David Natroshvili · Journal of Integral Equations and Applications · 2009 · 81 citations · Full text

Numerical Analysis, Method Of Fundamental Solution, Free Boundary Problem +5

ANALYSIS OF DIRECT SEGREGATED BOUNDARY-DOMAIN INTEGRAL EQUATIONS FOR VARIABLE-COEFFICIENT MIXED BVPs IN EXTERIOR DOMAINS

O. Chkadua, Sergey E. Mikhailov, David Natroshvili · Analysis and Applications · 2012 · 39 citations · Full text

Numerical Analysis, Method Of Fundamental Solution, Elliptic Equation +9

Analysis of direct boundary-domain integral equations for a mixed BVP with variable coefficient, II: Solution regularity and asymptotics

O. Chkadua, Sergey E. Mikhailov, David Natroshvili · Journal of Integral Equations and Applications · 2010 · 34 citations · Full text

Numerical Analysis, Boundary Condition Type, Parametrix-based Surface +12

Pseudodifferentia Equations on Manifolds with Boundary: Fredholm Property and Asymptotic

O. Chkadua, Roland Duduchava · Mathematische Nachrichten · 2001 · 29 citations

Spectral Theory, Elliptic Equation, Engineering +11

Localized Boundary-Domain Singular Integral Equations Based on Harmonic Parametrix for Divergence-Form Elliptic PDEs with Variable Matrix Coefficients

O. Chkadua, Sergey E. Mikhailov, David Natroshvili · Integral Equations and Operator Theory · 2013 · 28 citations

Numerical Analysis, Numerical Method For Partial Differential Equation, Elliptic Equation +6