Global existence of a generalized Cahn-Hilliard equation with biological applications
Ning Duan, Xiaopeng Zhao
TL;DR
This paper proves the global existence of classical solutions for a generalized Cahn-Hilliard equation, employing Schauder estimates and Campanato spaces, with applications in biology.
Contribution
It introduces a new analytical approach to establish global solutions for a generalized Cahn-Hilliard equation relevant to biological models.
Findings
Established global existence of solutions
Utilized Schauder estimates and Campanato spaces
Applicable to biological processes
Abstract
In this paper, on the basis of the Schauder type estimates and Campanato spaces, we prove the global existence of classical solutions for a generalized Cahn-Hilliard equation with biological applications.
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Taxonomy
TopicsNonlinear Partial Differential Equations · Solidification and crystal growth phenomena · Differential Equations and Numerical Methods