Some L* Estimates for Partial Differential Equations
نویسنده
چکیده
to hold for functions u satisfying given (possibly void) boundary conditions, where the Ak are linear partial differential operators, p is greater than one, and || • j | , , 3 , is an L p norm defined for all real values of 5. When 5 is a non-negative integer, ||w||8fl, is essentially the sum of the L norms of u and all its derivatives up to order s. We do not require that the A * be of the same order or that 5 be greater than their maximum order. When 5 is an integer we also obtain inequalities of the form
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تاریخ انتشار 2007