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math.AP2026
A free boundary analysis of tumor invasion driven by angiogenesis
Serena Dipierro, Edoardo Proietti Lippi, Caterina Sportelli +1
We discuss a free boundary model for tumor invasion that describes a cloud of cells that diffuse and, at the same time, are drifted along the vector field of the chemotactic direct…
math.AP2026
Nonlocal eigenvalue problems and superposition operators
Serena Dipierro, Edoardo Proietti Lippi, Caterina Sportelli +1
We study the spectral theory of mixed local and nonlocal operators with lower-order terms in the right-hand side of the equation. This kind of problems is motivated by the analysis…