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