In mathematical analysis, 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 connections to the Fourier restriction problem.
[1] Consider the linear Schrödinger equation in
Then the solution for initial data
Let q and r be real numbers satisfying
In this case the homogeneous Strichartz estimates take the form:[2] Further suppose that
are their dual exponents, then the dual homogeneous Strichartz estimates take the form:[2] The inhomogeneous Strichartz estimates are:[2]
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