Proves decay of solutions to nonlinear Dirac equations in expanding regions or compact sets in 1D, 3D and higher dimensions via adapted virial identities.
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.AP 2years
2025 2verdicts
UNVERDICTED 2representative citing papers
Establishes local and global existence of solutions to the semilinear damped wave equation with polynomial nonlinearity for slowly decaying non-L2 initial data via L^p-L^q estimates and fractional Leibniz rule in homogeneous Besov spaces.
citing papers explorer
-
Decay of solutions of nonlinear Dirac equations
Proves decay of solutions to nonlinear Dirac equations in expanding regions or compact sets in 1D, 3D and higher dimensions via adapted virial identities.
-
Existence of solutions to the semilinear damped wave equation with non-$L^2$ slowly decaying data : polynomial nonlinearity case
Establishes local and global existence of solutions to the semilinear damped wave equation with polynomial nonlinearity for slowly decaying non-L2 initial data via L^p-L^q estimates and fractional Leibniz rule in homogeneous Besov spaces.