Application of Hardy inequalities for some singular parabolic equations
N. Kutev, T. Rangelov
TL;DR
This paper explores boundary value problems for nonlinear parabolic equations with singular potentials, establishing existence, non-existence, and blow-up conditions using Hardy inequalities.
Contribution
It introduces new applications of Hardy inequalities to analyze singular parabolic equations, providing comprehensive existence and blow-up criteria.
Findings
Existence and non-existence results proved.
Blow-up conditions identified.
Hardy inequalities effectively applied.
Abstract
Boundary value problems for non-linear parabolic equations with singular potentials are considered. Existence and non-existence results as an application of different Hardy inequalities are proved. Blow-up conditions are investigated too.
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Taxonomy
TopicsDifferential Equations and Boundary Problems · Nonlinear Partial Differential Equations · Numerical methods in inverse problems