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Abstract In this paper, we study a PDE system which was proposed by Short et al. (2008) [42] to describe the spatial-temporal dynamics in urban criminal activity. By establishing a… Click to show full abstract
Abstract In this paper, we study a PDE system which was proposed by Short et al. (2008) [42] to describe the spatial-temporal dynamics in urban criminal activity. By establishing a user-friendly integral inequality, we prove the global existence, uniqueness and uniform boundedness of the classical solution to this system in one-dimension space. Our result extends the local well-posedness by Rodriguez and Bertozzi (2010) [38] to global.
Keywords:
boundedness urban;
global well;
well posedness;
uniform boundedness;
posedness uniform
Journal Title: Journal of Differential Equations
Year Published: 2020
Link to full text (if available)
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Journal Title: Journal of Differential Equations
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!