Povedenie Resheniy Differentsial'nykh Uravneniy V Neogranichennykh Oblastyakh

Rabota posvyashchena issledovaniyu granichnykh svoystvresheniy ellipticheskikh uravneniy v oblastyakh snegladkoy granitsey dostatochno obshchego vida, a takzhedokazatel'stvu otsenok resheniy nelineynykhparabolicheskikh uravneniy v oblastyakh s nekompaktnoygranitsey. V rabote ustanovleny metricheskiesootnosheniya, svyazyvayushchie integral Luzina snetangentsial'noy maksimal'noy funktsiey, dokazanosushchestvovanie nekasatel'nykh granichnykh znacheniyresheniy ellipticheskikh uravneniy, polucheny tochnyeotsenki resheniy zadachi Koshi nelineynogoparabolicheskogo uravneniya fil'tratsii, dokazanoneravenstvo tipa neravenstva Garnaka dlya resheniyazadachi Koshi uravneniya bystroy diffuzii v oblastyakhtipa oktanta, dokazana otsenka dlya resheniya zadachiKoshi-Dirikhle uravneniya bystroy diffuzii v oblastyakhtipa oktanta,ustanovlena zavisimost' resheniya zadachiKoshi-Dirikhle ot nachal'noy funktsii dlya uravneniyabystroy diffuzii.