Matteo Dalla Riva, PhD
Bio
Matteo Dalla Riva is an Assistant Professor of Mathematics in the College of Engineering and Natural Sciences at The University of Tulsa
Research Interests
– Applied Analysis
– Partial Differential Equations
– Boundary Integral Equations
– Singular Perturbation Problems
– Non Linear Problems
Teaching Interests
– Differential Equations
– Functional Analysis
– Potential Theory
– Measure Theory
Publications
Journal Articles

Dalla Riva, Matteo, and P. Musolino. “The Dirichlet Problem in a Planar Domain with Two Moderately Close Holes.” Journal of Differential Equations 263.5 (2017): 2567–2605. Print.

Costabel, Martin et al. “Converging Expansions for Lipschitz SelfSimilar Perforations of a Plane Sector.” Integral Equations and Operator Theory 88.3 (2017): 401–449. Print.

Bernardi, Olga, and Matteo Dalla Riva. “Analytic Dependence on Parameters for Evans’ Approximated Weak KAM Solutions.” Discrete and Continuous Dynamical Systems 37.9 (2017): 4625–4636. Print.

Dalla Riva, Matteo, and Paolo Musolino. “Moderately Close Neumann Inclusions for the Poisson Equation.” Mathematical Methods in the Applied Sciences (2016): n. pag. Print.

Dalla Riva, Matteo, and Paolo Musolino. “A Mixed Problem for the Laplace Operator in a Domain with Moderately Close Holes.” Communications in Partial Differential Equations 41.5 (2016): 812–837. Print.

Dalla Riva , M., and G. Mishuris. Existence Results for a Nonlinear Transmission Problem. Vol. 430, Journal of Mathematical Analysis and Applications, 2015, pp. 71841.

Dalla Riva , M., M. Lanza de Cristoforis, and P. Musolino. Analytic Dependence of Volume Potentials Corresponding to Parametric Families of Fundamental Solutions. Vol. 82, Integral Equations and Operator Theory, 2015, pp. 37193.

Dalla Riva , M., and P. Musolino. Real Analytic Families of Harmonic Functions in a Planar Domain With a Small Hole. Vol. 422, Journal of Mathematical Analysis and Applications, 2015, pp. 3755.

Dalla Riva , M., and P. Musolino. A Singularly Perturbed Nonlinear Traction Problem in a Periodically Perforated Domain: A Functional Analytic Approach. Vol. 37, Mathematical Methods in the Applied Sciences, 2014, pp. 10622.

Mai , W., M. Yan, T. Qian, M. Riva, and S. Saitoh. A Matrix Inequality for the Inversions of the Restrictions of a Positive Definite Hermitian Matrix. Vol. 03, Advances in Linear Algebra & Matrix Theory, 2013, pp. 5558.

Dalla Riva , M., J. Morais, and P. Musolino. A Family of Fundamental Solutions of Elliptic Partial Differential Operators With Quaternion Constant Coefficients. Vol. 36, Mathematical Methods in the Applied Sciences, 2013, pp. 156982.

Dalla Riva , M. A Family of Fundamental Solutions of Elliptic Partial Differential Operators With Real Constant Coefficients. Vol. 76, Integral Equations and Operator Theory, 2013, pp. 123.

Dalla Riva , M. Stokes Flow in a Singularly Perturbed Exterior Domain. Vol. 58, Complex Variables and Elliptic Equations, 2013, pp. 23157.

Dalla Riva , M., and P. Musolino. A Singularly Perturbed Nonideal Transmission Problem and Application to the Effective Conductivity of a Periodic Composite. Vol. 73, SIAM Journal on Applied Mathematics, 2013, pp. 2446.

Dalla Riva , M. Energy Integral of the Stokes Flow in a Singularly Perturbed Exterior Domain. Vol. 32, Opuscula Mathematica, 2012, p. 647.

Dalla Riva , M., and P. Musolino. Real Analytic Families of Harmonic Functions in a Domain With a Small Hole. Vol. 252, Journal of Differential Equations, 2012, pp. 633755.

Dalla Riva , M., and S. Yakubovich. On a Riemann–Liouville Fractional Analog of the Laplace Operator With Positive Energy. Vol. 23, Integral Transforms and Special Functions, 2012, pp. 27795.

Dalla Riva , M., and M. Lanza de Cristoforis. Weakly Singular and Microscopically Hypersingular Load Perturbation for a Nonlinear Traction Boundary Value Problem: A Functional Analytic Approach. Vol. 5, Complex Analysis and Operator Theory, 2011, pp. 81133.

Dalla Riva , M., and M. Lanza de Cristoforis. Microscopically Weakly Singularly Perturbed Loads for a Nonlinear Traction Boundary Value Problem: A Functional Analytic Approach. Vol. 55, Complex Variables and Elliptic Equations, 2010, pp. 77194.

Dalla Riva , M., and M. Lanza de Cristoforis. A Singularly Perturbed Nonlinear Traction Boundary Value Problem for Linearized Elastostatics. A Functional Analytic Approach. Vol. 30, Analysis, 2010.
Conference Proceedings

Dalla Riva , M., J. Morais, and P. Musolino. A Family of Fundamental Solutions for Elliptic Quaternion Coefficient Differential Operators and Application to Perturbation Results for Single Layer Potentials. AIP, 2012.

Dalla Riva , M., and P. Musolino. Effective Conductivity of a Singularly Perturbed Periodic TwoPhase Composite With Imperfect Thermal Contact at the TwoPhase Interface. AIP, 2012.

Dalla Riva , M. “Microscopic Behaviour of the Stokes Flow in a Singularly Perturbed Exterior Domain”. Progress in Analysis and Its Applications, WORLD SCIENTIFIC, 2010.

Dalla Riva , M., and M. Lanza de Cristoforis. “Singularly Perturbed Loads for a Nonlinear Traction Boundary Value Problem on a Singularly Perturbed Domain”. Progress in Analysis and Its Applications, WORLD SCIENTIFIC, 2010.

Dalla Riva , M. “The Layer Potentials of Some Partial Differential Operators: Real Analytic Dependence Upon Perturbations”. Further Progress in Analysis, WORLD SCIENTIFIC, 2009.
Book Chapters

Dalla Riva , M., and P. Musolino. “Harmonic Functions in a Domain With a Small Hole: A Functional Analytic Approach”. Integral Methods in Science and Engineering, Springer International Publishing, 2015, pp. 1435.
Courses Taught
 Advanced Calculus I
 Differential Equations
 Calculus II
 Senior Thesis
 Research and Thesis
 Special Topics in Mathematics