Research Publications:

P. Radu. Weak solutions to the Cauchy problem of a semilinear wave
equation with damping and source terms, Adv. Differential Equations, 10, no.11, (2005), 12611300. PDF
 P. Radu. Weak Solutions to the Initial Boundary Value Problem of a
Semilinear Wave Equation with Damping and Source Terms, Applicationae Mathematica (Warsaw), 35, no. 3, (2008), 355378. PDF

P. Radu, G. Todorova, B. Yordanov. Decay Estimates for Wave Equations
with Variable Coefficients,
Transactions of AMS, 362,
no. 5 (2010), 2279 2299. PDF

L. Bociu, P. Radu. Existence and Uniqueness of Weak Solutions to the
Cauchy Problem of a Semilinear Wave Equation with Supercritical
Interior Source and Damping, Discrete
Contin. Dyn. Syst., Differential Equations and Applications. 7th
AIMS Conference, suppl., (2009), 6071. PDF

P. Radu, G. Todorova, B. Yordanov. Higher order energy decay rates for
damped wave equations with variable coefficients, Discrete and
Continuous Dynamical Systems, 2,
no. 3 (2009), 609629. PDF

P. Radu, G. Todorova, B. Yordanov. Diffusion Phenomenon in Hilbert
Spaces and Applications, Journal of
Differential Equations 250, (2011), 42004218. PDF

P. Radu. Strong solutions to semilinear wave equations with damping and
source terms, Applicable Analysis. 92, no.4, (2013), 718739.
PDF

B. Hinds, P. Radu. Dirichlet's principle and wellposedness of steady
state solutions for a nonlocal peridynamics model. Applied Mathematics and Computation. , 219, no. 4, (2012), 14111419. PDF
 L. Bociu, P. Radu, D. Toundykov. Regular solutions for wave equations with supercritical sources and exponentialtologarithmic damping. Evolution Equations and Control Theory,
2, no.2, (2013), 255279. PDF
 S. Pankavich, P. Radu.
Nonlinear instability of solutions in parabolic and hyperbolic diffusion. Evolution Equations and Control Theory, 2, no. 2, (2013), 403422.
PDF
 L. Bociu, P. Radu, D. Toundykov. Errata: Regular solutions of wave equations with supercritical sources and exponentialtologarithmic damping, Evolution Equations and Control
Theory, 3, no. 2, (2014), 349354.PDF
 R. Brunnhuber, B. Kaltenbacher, P. Radu. Relaxation of regularity for the Westervelt equation by nonlinear damping with applications in acousticacoustic and elasticacoustic coupling, Evolution Equations and Control Theory, 3, no. 4, (2014), 595626. PDF
 P. Radu, D. Toundykov, J. Trageser. Finite time blowup in nonlinear suspension bridge models, Journal of Differential Equations. 257, (2014), 4030  4063.PDF
 P. Radu, G. Todorova, B. Yordanov. On the generalized diffusion phenomenon of dissipative wave equations, SIAM Journal of Mathematical Analysis. 48 , no. 1, (2016), 74203 PDF
 M. Foss, P. Radu. Differentiability and integrability properties for solutions to nonlocal equations. New Trends in Differential Equations, Control Theory and Optimization: Proceedings of the 8th Congress of Romanian Mathematicians, World Scientific, (2016), 105119 PDF.
 P. Radu, D. Toundykov, J. Trageser, A nonlocal biharmonic and its connection to the classical analogue. Archives for Rational Mechanics and Analysis. 223 , no. 2, (2017), 845880. PDF
 M. Foss, P. Radu, [Book Chapter] Bridging local and nonlocal models: convergence and regularity. (To appear in the Handbook of Nonlocal Continuum Mechanics for Materials and Structures, edited by George Z. Voyiadjis, Springer 2017). PDF
Forthcoming manuscripts:
 M. Foss, P. Radu, C. Wright, Existence and regularity of minimizers for nonlocal energy functionals. (submitted) PDF
 P. Radu, K. Wells, A statebased Laplacian: properties and convergence to its local and nonlocal counterparts. (preprint).
Education (and other) related publications:
 P. Radu, Math in the City  An example of handson learning, The BIG Notebook  BIG SIGMAA newsletter , April 2011, 5 8. PDF
 P. Radu, Taking math outside of the classroom: Math in the City, Special Issue on Service Learning in PRIMUS, 23, no. 6, (2013), 538549. PDF
 P. Radu, A Fulbright Experience, International Fulbright Alumni Association (IFAA) newsletter, April 2013.