Regularity of solutions of nonlinear parabolic equations

• Autorzy: Napiórkowska J.
• Języki publikacji: EN

Słowa kluczowe

EN

linear theory; nonlinear parabolic equations

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2001
• Tom: Vol. 34, nr 3
• Strony: 593--608
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Napiórkowska J.

• Institute of Mathematics Silesian University ul. Bankowa 14 40-007 Katowice, Poland

Bibliografia

• [1] R. A. Adams, Sobolev Spaces, Academic Press, New York, 1975.
• [2] C. Bardos, A regularity theorem for parabolic equations, J. Funct. Anal., 7 (1971), 311-322.
• [3] J. W. Cholewa, T. Dlotko, Asymptotic Behaviour of Abstract Parabolic Problems, London Mathematical Society Lecture Notes Series, Cambridge Univ. Press, Cambridge, 2000.
• [4] S. N. Chow, J. K. Hale, Methods of Bifurcation Theory, Springer-Verlag, New York, 1982.
• [5] A. Friedman, Partial Differential Equations, Holt, Rinehart and Winston, New York, 1969.
• [6] I. M. Gelfand, Some problems in the theory of quasilinear equations, Uspehi Mat. Nauk 14 (1959), no. 2(86), 87-158; Amer. Math. Soc. Transi. (2)29 (1963), 295-381.
• [7] D. Henry, Geometric Theory of Semilinear Parabolic Equations, Springer-Verlag, Berlin, 1981.
• [8] O. A. Ladyzhenskaya, V. A. Solonnikov and N. N. Uralceva, Linear and Quasilinear Equations of Parabolic Type, Translations of Math. Monographs, 23, Amer. Math. Soc., Providence R.I.
• [9] J. L. Lions, Quelques Méthodes de Résolution des Problèmes aux Limites non Linéaires, Études Mathématiques, Dunod, Gauthier-Villars, Paris, 1969.
• [10] J. L. Lions and E. Magenes, Nonhomogeneous Boundary Value Problems and Applications, Springer-Verlag, Berlin, 1972.
• [11] A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag, New York, 1983.
• [12] J. Smale, Smooth solutions of the heat and wave equations, Comment. Math. Helvetici, 55 (1980), 1-12.
• [13] R. Temam, Behaviour at time t=0 of the solutions of semi-linear equations, J. Differential Equations, 43 (1982), 73-92.
• [14] R. Temam, Infinite-Dimensional Dynamical Systems in Mechanic and Physics, Springer-Verlag, New York, 1988.
• [15] H. Triebel, Interpolation Theory, Function Spaces, Differential Operators, Veb Deutscher Verlag, Berlin, 1978.