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Can I read Linear and quasilinear parabolic equations in Sobolev space on EtoBox?
Linear and quasilinear parabolic equations in Sobolev space by Jason J. Sharples is a Mathematics article available to read on EtoBox.
What is Linear and quasilinear parabolic equations in Sobolev space about?
We consider linear parabolic equations of second order in a Sobolev space setting. We obtain existence and uniqueness results for such equations on a closed two-dimensional manifold, with minimal assumptions about the regularity of the coefficients of the elliptic operator. In particular, we derive a priori estimates relating the Sobolev regularity of the coefficients of the elliptic operator to that of the solution. The results obtained are used in conjunction with an iteration argument to yield existence results for quasilinear parabolic equations.
Who reads Linear and quasilinear parabolic equations in Sobolev space?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Jason J. Sharples
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0022-0396)
- Published
- 2004
- Language
- EN
- Field
- Mathematics (Physical Sciences)