A test function method for evolution equations with fractional powers of the Laplace operator

The sharp lifespan estimate for semilinear damped wave equation with Fujita critical power in higher dimensions

(2018) Ning-An Lai et al.   JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES

A note for the global nonexistence of semirelativistic equations with nongauge invariant power type nonlinearity

(2018) Kazumasa Fujiwara   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

A new phenomenon in the critical exponent for structurally damped semi-linear evolution equations

(2017) M. D’Abbicco et al.   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Lifespan of solutions to the damped wave equation with a critical nonlinearity

(2016) Masahiro Ikeda et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Finite time blowup of solutions to the nonlinear Schrödinger equation without gauge invariance

(2016) Kazumasa Fujiwara et al.   JOURNAL OF MATHEMATICAL PHYSICS

A Modified Test Function Method for Damped Wave Equations

(2016) Marcello D’Abbicco et al.   ADVANCED NONLINEAR STUDIES

Global existence for semi-linear structurally damped σ-evolution models

(2015) Duong Trieu Pham et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

A classification of structural dissipations for evolution operators

(2015) M. D'Abbicco et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Diffusion phenomena for the wave equation with structural damping in theLp−Lqframework

(2014) M. DʼAbbicco et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

An application of decay estimates to the semi-linear wave equation with parabolic-like structural damping

(2014) M. D’Abbicco et al.   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Semilinear structural damped waves

(2013) M. D'Abbicco et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Critical exponent for the semilinear wave equation with time-dependent damping

(2012) Jian Zhai et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Hitchhikerʼs guide to the fractional Sobolev spaces

(2011) Eleonora Di Nezza et al.   BULLETIN DES SCIENCES MATHEMATIQUES

Decay of mass for nonlinear equation with fractional Laplacian

(2009) Ahmad Fino et al.   MONATSHEFTE FUR MATHEMATIK