New Tools for Nonlinear PDEs and Application

• Corporate Author: SpringerLink (Online service)
• Other Authors: D'Abbicco, Marcello (Editor, http://id.loc.gov/vocabulary/relators/edt), Ebert, Marcelo Rempel (Editor, http://id.loc.gov/vocabulary/relators/edt), Georgiev, Vladimir (Editor, http://id.loc.gov/vocabulary/relators/edt), Ozawa, Tohru (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2019.
• Edition: 1st ed. 2019.
• Series: Trends in Mathematics,
• Subjects: Partial differential equations.; Partial Differential Equations.

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...

Table of Contents:

• Preface
• 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 applicationsv
• 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.