A large class of biological models leads to initial boundary value problems for nonhomogeneous balance laws, possibly with nonlocal boundary conditions. Here, for these equations, a general well posedness result is proved, a full set of stability estimates is provided, and sample control problems are tackled.
Colombo, R., Garavello, M. (2021). Well posedness and control in renewal equations with nonlocal boundary conditions. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 44(14), 11537-11564 [10.1002/mma.7512].
Well posedness and control in renewal equations with nonlocal boundary conditions
Garavello M.
2021
Abstract
A large class of biological models leads to initial boundary value problems for nonhomogeneous balance laws, possibly with nonlocal boundary conditions. Here, for these equations, a general well posedness result is proved, a full set of stability estimates is provided, and sample control problems are tackled.
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