The Local Strong and Weak Solutions for a Generalized Pseudoparabolic Equation | Zendy

Nan Li | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

The Local Strong and Weak Solutions for a Generalized Pseudoparabolic Equation

Author(s) -

Nan Li

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/568404

Subject(s) - font , mathematics , combinatorics , matrix (chemical analysis) , style (visual arts) , sobolev space , mathematical analysis , computer science , chemistry , chromatography , geography , artificial intelligence , archaeology

The Cauchy problem for a nonlinear generalized pseudoparabolic equation is investigated. The well-posedness of local strong solutions for the problem is established in the Sobolev space ([0,);⋂())1([0,);−1()) with >3/2, while the existence of local weak solutions is proved in the space () with 1≤≤3/2. Further, under certain assumptions of the nonlinear terms in the equation, it is shown that there exists a unique global strong solution to the problem in the space ([0,∞);⋂())1([0,∞);−1()) with ≥2

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research