Smooth 1-solitons of the Degasperis-Procesi equation are linearly asymptotically stable in exponentially weighted spaces, with the origin as the sole L2 eigenvalue and a spectral gap away from the imaginary axis yielding exponential semigroup decay.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
method 1
citation-polarity summary
fields
math.AP 1years
2026 1verdicts
UNVERDICTED 1roles
method 1polarities
use method 1representative citing papers
citing papers explorer
-
Linear Asymptotic Stability of the Smooth 1-Solitons for the Degasperis-Procesi Equation
Smooth 1-solitons of the Degasperis-Procesi equation are linearly asymptotically stable in exponentially weighted spaces, with the origin as the sole L2 eigenvalue and a spectral gap away from the imaginary axis yielding exponential semigroup decay.