In applied mathematics, Strichartz estimates are a family of inequalities for linear dispersive partial differential equations. These inequalities establish size and decay of solutions in mixed norm Lebesgue spaces. They were first noted by Robert Strichartz and arose out of contentions to the Fourier restriction problem.
Examples
Consider the linear Schrödinger equation in
In this case the homogeneous Strichartz estimates take the form:
Further suppose that
The inhomogeneous Strichartz estimates are: