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L{sub p}-estimates of the gradients of solutions of initial/boundary-value problems for quasilinear parabolic systems

Journal Article · · Journal of Mathematical Sciences
DOI:https://doi.org/10.1007/BF02364939· OSTI ID:105433
We prove that the gradients of solutions of parabolic systems of equations (linear and quasi-linear systems with quadratic nonlinearity with respect to the gradient) satisfying first of second boundary conditions are in L{sub p}, p > 2. It is assumed that the data of the problems belong to anisotropic spaces. The proof is based on the application of results on reverse Hoelder inequalities obtained previously by the author.
Sponsoring Organization:
USDOE
OSTI ID:
105433
Journal Information:
Journal of Mathematical Sciences, Journal Name: Journal of Mathematical Sciences Journal Issue: 6 Vol. 73; ISSN 1072-1964; ISSN JMTSEW
Country of Publication:
United States
Language:
English

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