Global well-posedness for fractional Hartree equation on modulation spaces and Fourier algebra
Author:
Funder
IUSTF and Indo-US SERB
DST-INSPIRE
TIFR
Publisher
Elsevier BV
Subject
Analysis,Applied Mathematics
Reference22 articles.
1. Fourier Analysis and Nonlineare Partial Differential Equations;Bahouri,2011
2. Unimodular Fourier multipliers for modulation spaces;Bényi;J. Funct. Anal.,2007
3. Local well-posedness of nonlinear dispersive equations on modulation spaces;Bényi;Bull. Lond. Math. Soc.,2009
4. The Cauchy problem for the Hartree type equation in modulation spaces;Bhimani;Nonlinear Anal.,2016
5. Nonlinear equations for fractional Laplacians, I: regularity, maximum principles, and Hamiltonian estimates;Cabré;Ann. Inst. Henri Poincaré, Anal. Non Linéaire,2014
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2. Strong ill-posedness for fractional Hartree and cubic NLS equations;Journal of Functional Analysis;2023-12
3. On heat equations associated with fractional harmonic oscillators;Fractional Calculus and Applied Analysis;2023-11-01
4. Energy criteria of global existence for a class of Hartree equations with Coulomb potential;Mathematics in Applied Sciences and Engineering;2023-03-30
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