# Matteo Dalla Riva PhD

Mathematics 918-631-3675

matteo-dallariva@utulsa.edu

## Biography

Matteo Dalla Riva is an Assistant Professor of Mathematics in the College of Engineering and Natural Sciences at The University of Tulsa

Ph.D., University of Padova

- Partial Differential Equations

- Boundary Integral Equations

- Singular Perturbation Problems

- Non Linear Problems

- Differential Equations

- Functional Analysis

- Potential Theory

- Measure Theory

The following may be selected publications rather than a comprehensive list.

## 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 Self-Similar 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. “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, 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 G. Mishuris. “Existence Results for a Nonlinear Transmission Problem.”

*Journal of Mathematical Analysis and Applications*430.2 (2015): 718–741. Print.

Dalla Riva, Matteo, Massimo Lanza de Cristoforis, and Paolo Musolino. “Analytic Dependence of Volume Potentials Corresponding to Parametric Families of Fundamental Solutions.”

*Integral Equations and Operator Theory*82.3 (2015): 371–393. Print.

Dalla Riva, Matteo, and P. Musolino. “Real Analytic Families of Harmonic Functions in a Planar Domain with a Small Hole.”

*Journal of Mathematical Analysis and Applications*422.1 (2015): 37–55. Print.

Dalla Riva, Matteo, and Paolo Musolino. “A Singularly Perturbed Nonlinear Traction Problem in a Periodically Perforated Domain: a Functional Analytic Approach.”

*Mathematical Methods in the Applied Sciences*37.1 (2014): 106–122. Print.

Dalla Riva, Matteo, João Morais, and Paolo Musolino. “A Family of Fundamental Solutions of Elliptic Partial Differential Operators with Quaternion Constant Coefficients.”

*Mathematical Methods in the Applied Sciences*36.12 (2013): 1569–1582. Print.

Dalla Riva, Matteo. “A Family of Fundamental Solutions of Elliptic Partial Differential Operators with Real Constant Coefficients.”

*Integral Equations and Operator Theory*76.1 (2013): 1–23. Print.

Dalla Riva, Matteo. “Stokes Flow in a Singularly Perturbed Exterior Domain.”

*Complex Variables and Elliptic Equations*58.2 (2013): 231–257. Print.

Mai, Weixiong et al. “A Matrix Inequality for the Inversions of the Restrictions of a Positive Definite Hermitian Matrix.”

*Advances in Linear Algebra & Matrix Theory*03.04 (2013): 55–58. Print.

Dalla Riva, Matteo, and Paolo Musolino. “A Singularly Perturbed Nonideal Transmission Problem and Application to the Effective Conductivity of a Periodic Composite.”

*SIAM Journal on Applied Mathematics*73.1 (2013): 24–46. Print.

Dalla Riva, Matteo, and Paolo Musolino. “Real Analytic Families of Harmonic Functions in a Domain with a Small Hole.”

*Journal of Differential Equations*252.12 (2012): 6337–6355. Print.

Dalla Riva, Matteo, and Semyon Yakubovich. “On a Riemann–Liouville Fractional Analog of the Laplace Operator with Positive Energy.”

*Integral Transforms and Special Functions*23.4 (2012): 277–295. Print.

Dalla Riva, Matteo. “Energy Integral of the Stokes Flow in a Singularly Perturbed Exterior Domain.”

*Opuscula Mathematica*32.4 (2012): 647. Print.

Dalla Riva, Matteo, and Massimo Lanza de Cristoforis. “Weakly Singular and Microscopically Hypersingular Load Perturbation for a Nonlinear Traction Boundary Value Problem: a Functional Analytic Approach.”

*Complex Analysis and Operator Theory*5.3 (2011): 811–833. Print.

Dalla Riva, Matteo, and Massimo Lanza de Cristoforis. “Microscopically Weakly Singularly Perturbed Loads for a Nonlinear Traction Boundary Value Problem: a Functional Analytic Approach.”

*Complex Variables and Elliptic Equations*55.8-10 (2010): 771–794. Print.

Dalla Riva, Matteo, and Massimo Lanza de Cristoforis. “A Singularly Perturbed Nonlinear Traction Boundary Value Problem for Linearized Elastostatics. A Functional Analytic Approach.”

*Analysis*30.1 (2010): n. pag. Print.

## Book Chapter

Dalla Riva, Matto, and Paolo Musolino. “Harmonic Functions in a Domain with a Small Hole: A Functional Analytic Approach.”

*Integral Methods in Science and Engineering*. Springer International Publishing, 2015. 143–153. Print.

## Conference Proceedings

Dalla Riva, Matteo, and Paolo Musolino. “Effective Conductivity of a Singularly Perturbed Periodic Two-Phase Composite with Imperfect Thermal Contact at the Two-Phase Interface.” AIP, 2012. Print.

Dalla Riva, Matteo, João Morais, and Paolo Musolino. “A Family of Fundamental Solutions for Elliptic Quaternion Coefficient Differential Operators and Application to Perturbation Results for Single Layer Potentials.” AIP, 2012. Print.

Dalla Riva, Matteo. “Microscopic Behaviour of the Stokes Flow in a Singularly Perturbed Exterior Domain.”

*Progress in Analysis and Its Applications*. WORLD SCIENTIFIC, 2010. Print.

Dalla Riva, Matteo, 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. Print.

Dalla Riva, Matteo. “The Layer Potentials of Some Partial Differential Operators: Real Analytic Dependence upon Perturbations.”

*Further Progress in Analysis*. WORLD SCIENTIFIC, 2009. Print.

MATH 3073 Differential Equations