Mixed Lebesgue space norm Strichartz type estimation for solution of inhomogeneous parabolic equation, with constants evaluation

2014/01/06 by E. Ostrovsky, Ostrovsky, E., L. Sirota +1
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Banach space #Constant (computer programming) #Exact solutions in general relativity #FOS: Mathematics #Lebesgue integration #Lp space #Mathematical analysis #Mathematics #Multiplicative function #Navier-Stokes equation solutions #Norm (philosophy) #Space (punctuation) #Standard probability space #Type (biology) #math.AP

paper · pdf · doi:10.48550/arxiv.1401.0979

published in arXiv (Cornell University) (Cornell University)

arxiv created 2014/01/06 · openalex publication_date 2014/01/06 · arxiv updated 2014/01/07 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We give an optimal in mixed (anisotropic) Strichartz type Lebesgue space-time norm estimates for the solution of linear parabolic inhomogeneous initial problem, with are exact or exact up to multiplicative constant coefficient evaluation.

Citations

• Boundedness of Operators in Bilateral Grand Bebesgue Spaces with Exact and Weakly Exact Constant Calculation
• Solvability of Naiver-Stokes equations in some rearrangement invariant spaces
• Quantitative lower bound for lifespan for solution of Navier-Stokes equations
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