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The Generalized Diffusion Phenomenon and Applications

SIAM journal on mathematical analysis, 2016-01, Vol.48 (1), p.174-203

2016

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Decay estimates for wave equations with variable coefficients

Transactions of the American Mathematical Society, 2010-05, Vol.362 (5), p.2279-2299

2010

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A new nonlocal calculus framework. Helmholtz decompositions, properties, and convergence for nonlocal operators in the limit of the vanishing horizon

SN partial differential equations and applications, 2022-06, Vol.3 (3), Article 43

2022

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A doubly nonlocal Laplace operator and its connection to the classical Laplacian

The Journal of integral equations and applications, 2019-09, Vol.31 (3)

2019

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Dirichlet’s principle and wellposedness of solutions for a nonlocal p-Laplacian system

Applied mathematics and computation, 2012-11, Vol.219 (4), p.1411-1419

2012

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Convergence Analysis and Numerical Studies for Linearly Elastic Peridynamics with Dirichlet-Type Boundary Conditions

Journal of peridynamics and nonlocal modeling (Online), 2023-06, Vol.5 (2), p.275-310

2023

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A Nonlocal Biharmonic Operator and its Connection with the Classical Analogue

Archive for rational mechanics and analysis, 2017-02, Vol.223 (2), p.845-880

2017

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Diffusion phenomenon in Hilbert spaces and applications

Journal of Differential Equations, 2011-06, Vol.250 (11), p.4200-4218

2011

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Nonlocal Green Theorems and Helmholtz Decompositions for Truncated Fractional Gradients

Applied mathematics & optimization, 2024-08, Vol.90 (1), p.16, Article 16

2024

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Strong solutions for semilinear wave equations with damping and source terms

Applicable analysis, 2013-04, Vol.92 (4), p.718-739, Article 718

Radu, Petronela

2013

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Existence and regularity of minimizers for nonlocal energy functionals

Differential and integral equations, 2018-11, Vol.31 (11/12)

2018

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Taking Math Outside of the Classroom:Math in the City

PRIMUS : problems, resources, and issues in mathematics undergraduate studies, 2013-05, Vol.23 (6), p.538-549

Radu, Petronela

2013

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Finite time blow-up in nonlinear suspension bridge models

Journal of Differential Equations, 2014-12, Vol.257 (11), p.4030-4063

2014

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Helmholtz-Hodge Decompositions in the Nonlocal Framework: Well-Posedness Analysis and Applications

Journal of peridynamics and nonlocal modeling (Online), 2020-12, Vol.2 (4), p.401-418

2020

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Sensitivity Analysis for Solutions to Heterogeneous Nonlocal Systems. Theoretical and Numerical Studies

Journal of peridynamics and nonlocal modeling (Online), 2022-09, Vol.4 (3), p.367-397

2022

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Weak solutions to the Cauchy problem of a semilinear wave equation with damping and source terms

Advances in differential equations, 2005, Vol.10 (11)

Radu, Petronela

2005

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Nonlinear instability of solutions in parabolic and hyperbolic diffusion

Evolution equations and control theory, 2013, Vol.2 (2), p.403-422

2013

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Higher order energy decay rates for damped wave equations with variable coefficients

Discrete and continuous dynamical systems. Series S, 2009-09, Vol.2 (3), p.609-629

2009

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Relaxation of regularity for the Westervelt equation by nonlinear damping with applications in acoustic-acoustic and elastic-acoustic coupling

Evolution equations and control theory, 2014, Vol.3 (4), p.595-626

2014

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Errata: Regular solutions of wave equations with super-critical sources and exponential-to-logarithmic damping

Evolution equations and control theory, 2014-06, Vol.3 (2), p.349-354

2014

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Weak solutions to the initial boundary value problem for a semilinear wave equation with damping and source terms

Applicationes mathematicae, 2008, Vol.35 (3), p.355-378

Radu, Petronela

2008

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Regular solutions of wave equations with super-critical sources and exponential-to-logarithmic damping

Evolution equations and control theory, 2013, Vol.2 (2), p.255-279

2013

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Preface: Introduction to the Special Volume on Nonlinear PDEs and Control Theory with Applications

Evolution equations and control theory, 2013, Vol.2 (2), p.i-ii

2013

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Bridging Local and Nonlocal Models: Convergence and Regularity

Handbook of Nonlocal Continuum Mechanics for Materials and Structures, p.1243-1263

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On semilinear wave equations

Radu, Petronela

2004

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The Generalized Diffusion Phenomenon and Applications

Decay estimates for wave equations with variable coefficients

A new nonlocal calculus framework. Helmholtz decompositions, properties, and convergence for nonlocal operators in the limit of the vanishing horizon

A doubly nonlocal Laplace operator and its connection to the classical Laplacian

Dirichlet’s principle and wellposedness of solutions for a nonlocal p-Laplacian system

Convergence Analysis and Numerical Studies for Linearly Elastic Peridynamics with Dirichlet-Type Boundary Conditions

A Nonlocal Biharmonic Operator and its Connection with the Classical Analogue

Diffusion phenomenon in Hilbert spaces and applications

Nonlocal Green Theorems and Helmholtz Decompositions for Truncated Fractional Gradients

Strong solutions for semilinear wave equations with damping and source terms

Existence and regularity of minimizers for nonlocal energy functionals

Taking Math Outside of the Classroom:Math in the City

Finite time blow-up in nonlinear suspension bridge models

Helmholtz-Hodge Decompositions in the Nonlocal Framework: Well-Posedness Analysis and Applications

Sensitivity Analysis for Solutions to Heterogeneous Nonlocal Systems. Theoretical and Numerical Studies

Weak solutions to the Cauchy problem of a semilinear wave equation with damping and source terms

Nonlinear instability of solutions in parabolic and hyperbolic diffusion

Higher order energy decay rates for damped wave equations with variable coefficients

Relaxation of regularity for the Westervelt equation by nonlinear damping with applications in acoustic-acoustic and elastic-acoustic coupling

Errata: Regular solutions of wave equations with super-critical sources and exponential-to-logarithmic damping

Weak solutions to the initial boundary value problem for a semilinear wave equation with damping and source terms

Regular solutions of wave equations with super-critical sources and exponential-to-logarithmic damping

Preface: Introduction to the Special Volume on Nonlinear PDEs and Control Theory with Applications

Bridging Local and Nonlocal Models: Convergence and Regularity

On semilinear wave equations

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