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Boundary Conditions of a Partial Differential Equation which are a weighted Average of Dirichlet Boundary Conditions (which specify the value of the function on a surface) and Neumann Boundary Conditions (which specify the normal derivative of the function on a surface).
See also Boundary Conditions, Cauchy Problem, Dirichlet Boundary Conditions, Neumann Boundary Conditions
References
Morse, P. M. and Feshbach, H.  Methods of Theoretical Physics, Part I.  New York: McGraw-Hill, pp. 678-679, 1953.