Λεπτομέρειες βιβλιογραφικής εγγραφής
| Τίτλος: |
Superlinear free-discontinuity models: relaxation and phase-field approximation. |
| Συγγραφείς: |
Conti, Sergio1 (AUTHOR), Focardi, Matteo2 (AUTHOR) matteo.focardi@unifi.it, Iurlano, Flaviana3 (AUTHOR) |
| Πηγή: |
Calculus of Variations & Partial Differential Equations. Aug2026, Vol. 65 Issue 8, p1-58. 58p. |
| Θεματικοί όροι: |
*Calculus of variations, *Functions of bounded variation, *Variational approach (Mathematics), *Mathematical models |
| Περίληψη: |
In this paper we develop the Direct Method in the Calculus of Variations for free-discontinuity energies whose bulk and surface densities exhibit superlinear growth for large gradients and small jump amplitudes, respectively. A distinctive feature of this kind of models is that the functionals are defined on SBV functions whose jump sets may have infinite measure. Establishing general lower semicontinuity and relaxation results in this setting requires new analytical techniques. In addition, we propose a variational approximation of certain superlinear energies via phase-field models. [ABSTRACT FROM AUTHOR] |
| Βάση Δεδομένων: |
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