@article{796299,
      recid = {796299},
      author = {Lototsky, Sergey V., and Rozovsky, Boris L.},
      title = {Stochastic partial differential equations /},
      pages = {1 online resource (xiv, 508 pages) :},
      abstract = {Taking readers with a basic knowledge of probability and  real analysis to the frontiers of a very active research  discipline, this textbook provides all the necessary  background from functional analysis and the theory of PDEs.  It covers the main types of equations (elliptic, hyperbolic  and parabolic) and discusses different types of random  forcing. The objective is to give the reader the necessary  tools to understand the proofs of existing theorems about  SPDEs (from other sources) and perhaps even to formulate  and prove a few new ones. Most of the material could be  covered in about 40 hours of lectures, as long as not too  much time is spent on the general discussion of stochastic  analysis in infinite dimensions. As the subject of SPDEs is  currently making the transition from the research level to  that of a graduate or even undergraduate course, the book  attempts to present enough exercise material to fill  potential exams and homework assignments. Exercises appear  throughout and are usually directly connected to the  material discussed at a particular place in the text. The  questions usually ask to verify something, so that the  reader already knows the answer and, if pressed for time,  can move on. Accordingly, no solutions are provided, but  there are often hints on how to proceed. The book will be  of interest to everybody working in the area of stochastic  analysis, from beginning graduate students to experts in  the field.--},
      url = {http://library.usi.edu/record/796299},
      doi = {https://doi.org/10.1007/978-3-319-58647-2},
}