Propagation of regularity and persistence of decay for fifth order dispersive models

الأصل · EN

This paper considers the initial value problem for a class of fifth order dispersive models containing the fifth order KdV equation ∂ₜu - ∂ₓ⁵u - 30u²∂ₓu + 20∂ₓu∂ₓ²u + 10u∂ₓ³u = 0. The main results show that regularity or polynomial decay of the data on the positive half-line yields regularity in the solution for positive times.