Details

Autor(en) / Beteiligte

• Faminskii, A. V.
• Martynov, E. V.
• Nazaikinskii, Vladimir E.
• Mishchenko, Alexander S.
• Manuilov, Vladimir M.
• Zhang, Weiping
• Schulze, Bert-Wolfgang

Titel

I arge-Time Decay of Solutions of the Damped Kawahara Equation on the

Ist Teil von

• Differential Equations on Manifolds and Mathematical Physics, 2022, p.130-141

Ort / Verlag

Cham: Springer International Publishing

Erscheinungsjahr

2022

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We consider an initial–boundary value problem for the damped Kawahara equation ut − uxxxxx + buxxx + aux + uux + g(x)u = 0 on the halfline R+ with the homogeneous boundary conditions. Sufficient conditions on the damping coefficient g(x) for the large-time decay of solutions in L2(R+) without any smallness assumptions on the initial data are established. In contrast to previous results, these conditions do not require the strict positivity of the damping coefficient at +∞.