The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 29-590
Full Name: Huashui Zhan
Position: Professor
Age: ON
Sex: Male
Address: The School of Science, Jimei University, XImen 361021, China
Country: CHINA
Tel: 8605926180706
Tel prefix:
Fax:
E-mail address: hszhan@jmu.edu.cn
Other E-mails: huashuizhan@163.com
Title of the Paper: On Existence and Uniqueness of the Cauchy Problem for Parabolic Equations with Unbounded Coefficients
Authors as they appear in the Paper: Huashui Zhan
Email addresses of all the authors: hszhan@jmu.edu.cn
Number of paper pages: 10
Abstract: A new kind of entropy solution to the Cauchy problem for strong degenerate parabolic equations with unbounded coefficients, $$ \frac{\partial u}{\partial t}=\Delta A(u)+\texttt{div}(uE),\;A^{\prime }(u)\geq 0, $$ is quoted. Suppose that $u_{0}\in L^{\infty }(R^{N})$, $E=\{E_{i}\}\in (L^{2}(Q_{T}))^{N}$ and div$E\in L^{2}(Q_{T})$, by a modified regularization method and choosing a suitable test function, the BV estimates are got, the existence of the entropy solution is obtained. At last, by Kruzkov bi-variables method, the stability of the solutions is obtained too.
Keywords: Cauchy problem, Degenerate parabolic equation, Existence, Unbounded coefficient
EXTENSION of the file: .pdf
Special (Invited) Session: On the Time-periodic Solutions of a Quasilinear Degenerate Parabolic Equation
Organizer of the Session: 618-414
How Did you learn about congress: fgao0487@jmu.edu.cn, jnzhao@xmu.edu.cn, hyj@mail.jlu.edu.cn
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