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Abstract In this paper we prove existence and uniqueness of strong solutions to the homogeneous Neumann problem associated to a parabolic equation with linear growth with respect to the gradient… Click to show full abstract
Abstract In this paper we prove existence and uniqueness of strong solutions to the homogeneous Neumann problem associated to a parabolic equation with linear growth with respect to the gradient variable. This equation is a generalization of the time-dependent minimal surface equation. Existence and regularity in time of the solution is proved by means of a suitable pseudoparabolic relaxed approximation of the equation and a passage to the limit.
Keywords:
parabolic equation;
equation linear;
growth respect;
strong solutions;
equation;
linear growth
Journal Title: Journal of Differential Equations
Year Published: 2018
Link to full text (if available)
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Journal Title: Journal of Differential Equations
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!