Existence and finite speed of propagation of solutions for a multidimensional fractional thin-film equation

Nicola De Nitti; Stefano Lisini; Antonio Segatti; Roman M. Taranets

doi:10.1007/s00030-025-01177-w

February 3, 2026Nonlinear Differential Equations and Applications NoDEA

Existence and finite speed of propagation of solutions for a multidimensional fractional thin-film equation

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Key Points

Solutions exist for the multidimensional fractional thin-film equation, indicating a reliable mathematical model.
The study highlights the finite speed of propagation for these solutions across multidimensional spaces.
Through mathematical analysis, the properties of solutions reveal important implications for fluid dynamics applications.
Addressing the existence and behavior of these solutions calls for further exploration of their real-world modeling capabilities.

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Implication

Analysis confirms existence and finite propagation speed of solutions for multidimensional fractional thin-film equations, suggesting broader applications in fluid dynamics.

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Cite This Study

Nitti et al. (2026) studied this question.

synapsesocial.com/papers/69a76030c6e9836116a2cb0f https://doi.org/10.1007/s00030-025-01177-w

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Existence and finite speed of propagation of solutions for a multidimensional fractional thin-film equation

Key Points

No abstract yet

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Implication

Discussion

Cite This Study

Existence and finite speed of propagation of solutions for a multidimensional fractional thin-film equation

Key Points

No abstract yet

Ask about this paper

Implication

Discussion

Cite This Study

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