The following formulas for the single layer potential are well known (see, for example, [1]}, [2]}) :
\(\mathcal {S}_{\partial \Omega } [\mu ] \big |_+ (x) &= \mathcal {S}_{\partial \Omega } [\mu ] \big |_- (x) \quad \text{ on } \partial \Omega ,  \\\partial _\nu \mathcal {S}_{\partial \Omega } [\mu ] \big |_\pm (x) &= \biggl ( \pm \frac{1}{2} I + \mathcal {K}_{\partial \Omega }^* \biggr ) [\mu ] (x) \quad \text{ on } \partial \Omega . \) 

Следующие формулы для потенциала однослойного типа хорошо известны (см., например, [1], [2]):

\(\mathcal {S}_{\partial \Omega } [\mu ] \big |_+ (x) &= \mathcal {S}_{\partial \Omega } [\mu ] \big |_- (x) \quad \text{на } \partial \Omega ,  \\\partial _\nu \mathcal {S}_{\partial \Omega } [\mu ] \big |_\pm (x) &= \biggl ( \pm \frac{1}{2} I + \mathcal {K}_{\partial \Omega }^* \biggr ) [\mu ] (x) \quad \text{на } \partial \Omega . \)