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ABSTRACT We study the global regularity of solutions of the homogeneous Dirichlet problem for the parabolic equation with variable nonlinearity where p(x, t), are given functions of their arguments, and… Click to show full abstract
ABSTRACT We study the global regularity of solutions of the homogeneous Dirichlet problem for the parabolic equation with variable nonlinearity where p(x, t), are given functions of their arguments, and . Conditions on the data are found that guarantee the existence of a unique strong solution such that and . It is shown that if with , p and are Hölder-continuous in , and , then for every strong solution with any .
Keywords:
higher regularity;
variable nonlinearity;
regularity solutions;
solutions singular
Journal Title: Applicable Analysis
Year Published: 2019
Link to full text (if available)
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Journal Title: Applicable Analysis
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!