On the Evolutionary Fractional p-Laplacian
暂无分享,去创建一个
[1] J. Hale,et al. Ordinary Differential Equations , 2019, Fundamentals of Numerical Mathematics for Physicists and Engineers.
[2] Juan Luis Vázquez,et al. Nonlinear Diffusion with Fractional Laplacian Operators , 2012 .
[3] E. Zeidler. Nonlinear Functional Analysis and Its Applications: II/ A: Linear Monotone Operators , 1989 .
[4] E. Boschi. Recensioni: J. L. Lions - Quelques méthodes de résolution des problémes aux limites non linéaires. Dunod, Gauthier-Vi;;ars, Paris, 1969; , 1971 .
[5] E. Valdinoci,et al. Hitchhiker's guide to the fractional Sobolev spaces , 2011, 1104.4345.
[6] V. Thomée,et al. The stability in _{} and ¹_{} of the ₂-projection onto finite element function spaces , 1987 .
[7] K. Rajagopal,et al. On Kelvin-Voigt model and its generalizations , 2012 .
[8] H. Amann,et al. Ordinary Differential Equations: An Introduction to Nonlinear Analysis , 1990 .
[9] E. Zeidler. Nonlinear functional analysis and its applications , 1988 .
[10] Hans Engler,et al. Global regular solutions for the dynamic antiplane shear problem in nonlinear viscoelasticity , 1989 .
[11] Unione matematica italiana. Lecture notes of the Unione matematica italiana , 2006 .
[12] W. McLean. Strongly Elliptic Systems and Boundary Integral Equations , 2000 .
[13] Yannick Sire,et al. Nonlinear equations for fractional laplacians II: existence, uniqueness, and qualitative properties of solutions , 2011, 1111.0796.
[14] H. Brezis. Functional Analysis, Sobolev Spaces and Partial Differential Equations , 2010 .
[15] Mats Boman. Estimates for the L2-Projection onto Continuous Finite Element Spaces in a Weighted Lp-Norm , 2006 .
[16] J. Lions,et al. Problèmes aux limites non homogènes (VI) , 1963 .
[17] T. Roubíček. Nonlinear partial differential equations with applications , 2005 .
[18] Luc Tartar,et al. An Introduction to Navier-Stokes Equation and Oceanography , 2006 .
[19] L. Tartar. An Introduction to Sobolev Spaces and Interpolation Spaces , 2007 .
[20] Jöran Bergh,et al. Interpolation Spaces: An Introduction , 2011 .
[21] J. Cooper. SINGULAR INTEGRALS AND DIFFERENTIABILITY PROPERTIES OF FUNCTIONS , 1973 .
[22] L. Nikolova,et al. On ψ- interpolation spaces , 2009 .
[23] Sophia Demoulini. Weak Solutions for a Class of Nonlinear Systems of Viscoelasticity , 2000 .
[24] Zhi-Ming Ma,et al. BOUNDARY PROBLEMS FOR FRACTIONAL LAPLACIANS , 2005 .
[25] Viorel Barbu,et al. Differential equations in Banach spaces , 1976 .
[26] J. Wloka,et al. Partial differential equations: Strongly elliptic differential operators and the method of variations , 1987 .
[27] Etienne Emmrich,et al. Evolution equations of second order with nonconvex potential and linear damping: existence via convergence of a full discretization , 2013 .
[28] Takayuki Kobayashi,et al. On a global in time existence theorem of smooth solutions to a nonlinear wave equation with viscosity , 1993 .
[29] Hyunjoong Kim,et al. Functional Analysis I , 2017 .
[30] N. S. Landkof. Foundations of Modern Potential Theory , 1972 .
[31] José M. Mazón,et al. Nonlocal Diffusion Problems , 2010 .
[32] G. M.,et al. Partial Differential Equations I , 2023, Applied Mathematical Sciences.
[33] H. Gajewski,et al. Nichtlineare Operatorgleichungen und Operatordifferentialgleichungen , 1974 .
[34] Gero Friesecke,et al. Implicit time discretization and global existence for a quasi-linear evolution equation with nonconvex energy , 1997 .
[35] Avner Friedman,et al. Systems of nonlinear wave equations with nonlinear viscosity. , 1988 .
[36] Etienne Emmrich,et al. Peridynamics: a nonlocal continuum theory. , 2013 .
[37] Yannick Sire,et al. Nonlinear equations for fractional Laplacians I: Regularity, maximum principles, and Hamiltonian estimates , 2010, 1012.0867.
[38] Etienne Emmrich,et al. Doubly nonlinear evolution equations of second order: Existence and fully discrete approximation , 2011 .
[39] Etienne Emmrich,et al. Measure-valued and weak solutions to the nonlinear peridynamic model in nonlocal elastodynamics , 2014 .
[40] Andreas Prohl,et al. Convergence of a Finite Element-Based Space-Time Discretization in Elastodynamics , 2008, SIAM J. Numer. Anal..
[41] J. Lions,et al. Problèmes aux limites non homogènes et applications , 1968 .
[42] S. Silling. Reformulation of Elasticity Theory for Discontinuities and Long-Range Forces , 2000 .
[43] J. Lions. Quelques méthodes de résolution de problèmes aux limites non linéaires , 1969 .