Stampaccia's method. Investigation of the properties of solutions of partial derivative equations
Keywords:
Stampacchia method; porous medium equation; Cauchy problemAbstract
This study considers the variational inequality introduced by G. Stampacchia. Solving problems using variations and the theory of nonlinear differential equations in partial derivatives.
References
Буряченко К. О., Таранець Р. М., Шань М. О. Nonlinear analysis of processes in anisotropic and nonuniform media (Нелiнiйний аналiз процесiв в анiзотропних та неоднорiдних середовищах, на анг. мовi: навчальний посiбник. Вiнниця: ДонНУ iменi Василя Стуса, Слов’янськ: IПММ НАНУ, 2021. 99 с.
Stampacchia G. Equations elliptiques du second ordre `a coefficients dis- ´ continus, S´eminaire Jean Leray, no. 3, 1–77, 1963–1964.
Vazquez J. L. , The Porous Medium Equation: Mathematical Theory, Oxford University Press, 624 pages, 2007.
Ya. B. Zel’dovich, A. S. Kompaneets, Towards a theory of heat conduction with thermal conductivity depending on the temperature, Collection of papers dedicated to 70th Anniversary of A. F. Ioffe, Izd. Akad. Nauk SSSR, Moscow, 1950. Pp. 61–71.