Tadele Mengesha



Tadele Mengesha   
The University of Tennessee, Knoxville
Department of Mathematics,
204 Ayres Hall

Telephone: (865) 974-6577
Email: mengesha at utk dot edu    

Research topics of interest

Publications and preprints 

  • Fractional Hardy-type and trace theorems for nonlocal function spaces with heterogeneous localization (with Q. Du and X. Tian), Submitted, PDF
  • A Fractional Korn-type inequality for smooth domains and a regularity estimate for nonlinear nonlocal systems of equations (with J. Scott), Submitted, PDF.
  • Self-improving Inequalities for bounded weak solutions to nonlocal double phase equations (with J. Scott), Submitted, PDF.
  •  The Darcy problem with porosity depending exponentially on the pressure, (with Z. K. Birhanu and A. J. Salgado), Submitted,  PDF.
  • Calderon-Zygmund type estimates for nonlocal PDE with Hφlder continuous kernel (With A. Schikorra and S. Yeepo), Advances in Mathematics 383, 2021, PDF.
  • A potential space estimate for solutions of systems of nonlocal equations in peridynamics (with J. Scott), SIAM Journal of Mathematical Analysis. 51, no. 1, 86–109, 2019, PDF.
  • Asymptotic analysis of a coupled system of nonlocal equations with oscillatory coefficients (with J. Scott), SIAM Multiscale Modeling and Simulations 18, no. 4, 1462–1488, 2020, PDF.
  • A fractional Korn-type inequality (with J. Scott), Discrete Continuous Dynamical Systems 39, no. 6, 3315-3343, 2019, PDF.
  • The solvability of a strongly-coupled nonlocal system of equations (with J. Scott), Journal of Mathematical Analysis and Applications, 486, no. 2, 2020, PDF.
  • Solvability of nonlocal systems related to peridynamics (with M. Kassmann and J. Scott), Communications on Pure & Applied Analysis, Vol 18, 3, 1303-1332, 2019, PDF.
  • Fractional Korn and Hardy-type inequalities for vector fields in half space, Communications in Contemporary Mathematics, 21, no. 7, 2019, PDF.
  • Gradient estimates for weak solutions of linear elliptic systems with singular-degenerate coefficients (with D. Cao and T. Phan), 13–33, Proceedings of the AMS Special Sessions on Spectral Calculus and Quasilinear PDEs, PDE analysis on fluid flows, Contemporary Mathematics, 725, American Mathematical Society 2019.
  • Weighted-W1,p estimates for weak solutions of degenerate elliptic equations with coefficients degenerate in one variable (with T. Phan), Nonlinear Analysis, 179, 184-236, 2019. PDF.
  • Weighted-W1,p estimates for weak solutions of degenerate and singular elliptic equations (with D. Cao and T. Phan),  Indiana University Math Journal, Vol 67:6, 2018, PDF.
  • Gradient weighted norm inequalities for linear elliptic equations with discontinuous coefficients (with K. Adimurthi, and N.C. Phuc), Applied Mathematics and Optimization, 83, no. 1, 327–371, 2021, PDF.
  • Characterization of function spaces of vector fields and an application in nonlinear peridynamics (with Q. Du), Nonlinear Analysis, Vol. 140, 82-111, 2016, PDF.
  • Quasilinear equations with general structures and divergence data on Reifenberg flat domains (with N.C. Phuc), Journal of Differential Equations, 260, 5421-5449, 2016, PDF.
  • On the variational limit of a class of nonlocal functionals related to peridynamics (with Q. Du), Nonlinearity, 28, 3999- 4035, 2015, PDF.
  • Multiscale analysis of linear evolution equations with applications to nonlocal models for heterogeneous media (with Q. Du, R. Lipton),  ESAIM: M2AN 50, 1425-1455 (2016), PDF.
  • Localization of nonlocal gradients in various topologies (with D. Spector), Calculus of Variations and PDEs, 52, 1–2, pp 253–279, 2015 PDF.
  • Multiscale analysis of a linear peridynamic solid (with Q. Du), Communications in Mathematical Sciences, Vol 13, No. 15, 1193-1218, 2015, PDF.
  • The peridynamic system as a nonlocal boundary value problem (with Q. Du), Journal of Elasticity, 116, 27-51, 2014, PDF.
  • The bond based peridynamic system with Dirichlet-type volume constraint (with Q. Du), Proc. of the Royal Soc. of Edinburgh: Section A, 144, 161-186, 2014, PDF.
  • Analysis of the peridynamic model for sign changing kernels (with Q. Du), Discrete and Continuous Dynamical Systems- Series B, Vol 18, no 5, 1415-1437, 2013, PDF.
  • Nonlocal Korn-type characterization of Sobolev vector fields, Communication in Contemporary Mathematics, 14, no. 4, 2012, PDF.
  • Global estimates for quasilinear elliptic equations on Reifenberg flat domains (with N.C. Phuc),  Archive for Rational Mechanics and Analysis, Vol 203, no 1, 189 - 216, 2012, PDF.
  • Representation formulas for L-infinity norms of weakly convergent sequences of gradient fields in homogenization (with R. Lipton),  ESAIM:Mathematical Modelling and Numerical Analysis, 46, 1121-1146, (2012), PDF.
  • Weighted and regularity estimates for nonlinear equations on Reifenberg flat domains (with N.C. Phuc),  Journal of Differential Equations, 250, 1, 1485-2507, 2011, PDF.
  • Results on Nonlocal Boundary value problems (with B. Aksoylu), Numerical Functional Analysis and Optimization, 31, 12, 1301-1317, 2010, PDF.
  • Sufficient conditions for strong local minima: the case of C^1 extremals (with Y. Grabovsky), Transactions of the AMS. 361, No. 3, 1495–1541, 2009, PDF.
  • Direct approach to the problem of strong local min in Calculus of Variations (with Y. Grabovsy), Calculus of Variations and PDE, 29, No. 1, 59-83, 2007, PDF.
  • Sufficient Conditions for local minimizers in Calculus of Variations. Ph.D. thesis, 2007. Temple University.