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E-raamat: New Tools for Nonlinear PDEs and Application

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  • Formaat: EPUB+DRM
  • Sari: Trends in Mathematics
  • Ilmumisaeg: 07-May-2019
  • Kirjastus: Springer Nature Switzerland AG
  • Keel: eng
  • ISBN-13: 9783030109370
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New Tools for Nonlinear PDEs and ApplicationSuurem pilt
  • Formaat: EPUB+DRM
  • Sari: Trends in Mathematics
  • Ilmumisaeg: 07-May-2019
  • Kirjastus: Springer Nature Switzerland AG
  • Keel: eng
  • ISBN-13: 9783030109370
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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.


Preface.- On effective PDEs of quantum physics.- Critical exponents for
differential inequalitieswith 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.
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Püsilink: https://www.kriso.ee/db/97830301093706e.html