Sunto
Si studia il problema inverso di determinare il coefficients a nell'equazione ellittica in due variabili
,quando se ne conosce una soluzione u. Si danno un risultato di dipendenza continua di a da u e un metodo di determinazione approssimata di a. Elemento chiave in questi risultati è lo studio di proprietà dei punti critici delle soluzioni u di (*).
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Alessandrini, G. An identification problem for an elliptic equation in two variables. Annali di Matematica pura ed applicata 145, 265–295 (1986). https://doi.org/10.1007/BF01790543
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DOI: https://doi.org/10.1007/BF01790543