New Tools for Nonlinear PDEs and Application

Front Matter ....Pages i-viii
 On Effective PDEs of Quantum Physics  (Ilias Chenn, I. M. Sigal)....Pages 1-47
 Critical Exponents for Differential Inequalities with Riemann-Liouville and Caputo Fractional Derivatives  (Marcello D’Abbicco)....Pages 49-95
 Weakly Coupled Systems of Semilinear Effectively Damped Waves with Different Time-Dependent Coefficients in the Dissipation Terms and Different Power Nonlinearities  (Abdelhamid Mohammed Djaouti, Michael Reissig)....Pages 97-128
 Incompressible Limits for Generalisations to Symmetrisable Systems  (Michael Dreher)....Pages 129-151
 The Critical Exponent for Evolution Models with Power Non-linearity  (Marcelo Rempel Ebert, Linniker Monteiro Lourenço)....Pages 153-177
 Blow-Up or Global Existence for the Fractional Ginzburg-Landau Equation in Multi-dimensional Case  (Luigi Forcella, Kazumasa Fujiwara, Vladimir Georgiev, Tohru Ozawa)....Pages 179-202
 Semilinear Damped Klein-Gordon Models with Time-Dependent Coefficients  (Giovanni Girardi)....Pages 203-216
 Wave-Like Blow-Up for Semilinear Wave Equations with Scattering Damping and Negative Mass Term  (Ning-An Lai, Nico Michele Schiavone, Hiroyuki Takamura)....Pages 217-240
 4D Semilinear Weakly Hyperbolic Wave Equations  (Sandra Lucente)....Pages 241-261
 Smoothing and Strichartz Estimates to Perturbed Magnetic Klein-Gordon Equations in Exterior Domain and Some Applications  (Kiyoshi Mochizuki, Sojiro Murai)....Pages 263-280
 The Cauchy Problem for Dissipative Wave Equations with Weighted Nonlinear Terms  (Makoto Nakamura, Hidemitsu Wadade)....Pages 281-303
 Global Existence Results for a Semilinear Wave Equation with Scale-Invariant Damping and Mass in Odd Space Dimension  (Alessandro Palmieri)....Pages 305-369
 Wave Equations in Modulation Spaces–Decay Versus Loss of Regularity  (Maximilian Reich, Michael Reissig)....Pages 371-390