D'Abbicco M., Ebert M.R., Georgiev V., Ozawa T. (Eds.) New Tools for Nonlinear PDEs and Application

Springer, 2019. — 392 p. — (Trends in Mathematics). — ISBN: 978-3-030-10936-3.This book features a collection of papers devoted to recent results in nonlinear partial differential equations and applications. It presents an excellent source of information on the state-of-the-art, new methods, and trends in this topic and related areas. Most of the contributors presented their work during the sessions "Recent progress in evolution equations" and "Nonlinear PDEs" at the 12th ISAAC congress held in 2017 in Växjö, Sweden. Even if inspired by this event, this book is not merely a collection of proceedings, but a stand-alone project gathering original contributions from active researchers on the latest trends in nonlinear evolution PDEs.On Effective PDEs of Quantum Physics
Critical Exponents for Differential Inequalities with Riemann-Liouville and Caputo Fractional Derivatives
Weakly Coupled Systems of Semilinear Effectively Damped Waves with Different Time-Dependent Coefficients in the Dissipation Terms and Different Power Nonlinearities
Incompressible Limits for Generalisations to Symmetrisable Systems
The Critical Exponent for Evolution Models with Power Non-linearity
Blow-Up or Global Existence for the Fractional Ginzburg-Landau Equation in Multi-dimensional Case
Semilinear Damped Klein-Gordon Models with Time-Dependent Coefficients
Wave-Like Blow-Up for Semilinear Wave Equations with Scattering Damping and Negative Mass Term
4D Semilinear Weakly Hyperbolic Wave Equations
Smoothing and Strichartz Estimates to Perturbed Magnetic Klein-Gordon Equations in Exterior Domain and Some Applications
The Cauchy Problem for Dissipative Wave Equations with Weighted Nonlinear Terms
Global Existence Results for a Semilinear Wave Equation with Scale-Invariant Damping and Mass in Odd Space Dimension
Wave Equations in Modulation Spaces–Decay Versus Loss of Regularity