@article{890534,
      recid = {890534},
      author = {Lerner, Nicolas,},
      title = {Carleman inequalities : an introduction and more /},
      pages = {1 online resource.},
      abstract = {Over the past 25 years, Carleman estimates have become an  essential tool in several areas related to partial  differential equations such as control theory, inverse  problems, or fluid mechanics. This book provides a detailed  exposition of the basic techniques of Carleman  Inequalities, driven by applications to various questions  of unique continuation. Beginning with an elementary  introduction to the topic, including examples accessible to  readers without prior knowledge of advanced mathematics,  the book's first five chapters contain a thorough  exposition of the most classical results, such as  Calderón's and Hörmander's theorems. Later chapters explore  a selection of results of the last four decades around the  themes of continuation for elliptic equations, with the  Jerison-Kenig estimates for strong unique continuation,  counterexamples to Cauchy uniqueness of Cohen and Alinhac &  Baouendi, operators with partially analytic coefficients  with intermediate results between Holmgren's and  Hörmander's uniqueness theorems, Wolff's modification of  Carleman's method, conditional pseudo-convexity, and more.  With examples and special cases motivating the general  theory, as well as appendices on mathematical background,  this monograph provides an accessible, self-contained basic  reference on the subject, including a selection of the  developments of the past thirty years in unique  continuation.},
      url = {http://library.usi.edu/record/890534},
      doi = {https://doi.org/10.1007/978-3-030-15},
}