@article{10902/18250, year = {2019}, month = {10}, url = {http://hdl.handle.net/10902/18250}, abstract = {Techniques from sparse control theory are proposed to approximate initial conditions for diffusion-convection equations. Existence and uniqueness of optimal controls are proven, and necessary and sufficient optimality conditions are derived. From these conditions the sparsity structure of the solutions is derived, which relates to identification of the sources to be reconstructed.}, organization = {The first author was supported by Spanish Ministerio de Economía, Industria y Competitividad under research project MTM2017-83185-P. The second was supported by the ERC advanced grant 668998 (OCLOC) under the EU’s H2020 research program.}, publisher = {Institute of Physics Publishing}, publisher = {Inverse Problems, 2019, 35(11), 114002}, title = {Using sparse control methods to identify sources in linear diffusion-convection equations}, author = {Casas Rentería, Eduardo and Kunisch, Karl}, }