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math.APJan 6, 2014
authors
  • E. Ostrovsky
  • L. Sirota
arXiv abstractPDF
paper

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

arXiv:1401.0979

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.

References in corpus (12)

  • Well-posedness of the Cauchy problem for the fractional power dissipative equations
  • Boundedness of Operators in Bilateral Grand Bebesgue Spaces with Exact and Weakly Exact Constant Calculation
  • Global Well-posedness for the Generalized Navier-Stokes System
  • Nonlocal heat equations: decay estimates and Nash inequalities
  • Multiple weight Riesz and Fourier transforms in bilateral anisotropic Grand Lebesgue spaces
  • Weight Hardy-Littlewood Inequalities for Different Powers
  • Widths of weighted Sobolev classes on a domain with a peak: some limiting cases
  • Solvability of Naiver-Stokes equations in some rearrangement invariant spaces
  • Quantitative lower bound for lifespan for solution of Navier-Stokes equations
  • Cesaro-Hardy operators on bilateral grand Lebesgue spaces
  • On the global existence solution for a chemotaxis model
  • Strichartz type estimates for fractional heat equations
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