A nonlinear parabolic-Sobolev equation

DOI10.1016/0022-247X(75)90047-5zbMath0296.35047MaRDI QIDQ1213571

Ralph E. Showalter

Publication date: 1975

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Related Items

Multivalued linear operators and degenerate evolution equations, Finite element Galerkin method for 2D Sobolev equations with Burgers' type nonlinearity, Completely discrete schemes for 2D Sobolev equations with Burgers' type nonlinearity, \(L^2\)-error analysis of discontinuous Galerkin approximations for nonlinear Sobolev equations, Periodic solutions of ordinary differential equations in a Hilbert space and a quasilinear pseudoparabolic boundary value problem, Source degenerate identification problems with smoothing overdetermination, A class of viscous \(p\)-Laplace equation with nonlinear sources, On a class of measure-dependent stochastic evolution equations driven by fbm, A semilinear Sobolev evolution equation in a Banach space, Existence of weak solutions of a nonlinear parabolic equation in a noncylindrical domain, On a McKean‐Vlasov Stochastic Integro‐differential Evolution Equation of Sobolev‐Type, A class of pseudo-parabolic equations: existence, uniqueness of weak solutions, and error estimates for the Euler-implicit discretization, A class of \((\omega,\mathbb{T})\)-periodic solutions for impulsive evolution equations of Sobolev type, A partial functional differential equation of Sobolev type, Unnamed Item, Nonlocal Cauchy problem for delay integrodifferential equations of Sobolev type in Banach spaces

Cites Work

• Existence, uniqueness and limiting behavior of solutions of a class of differential equations in Banach space
• Nonlinear semigroups in Hilbert space
• Nonlinear semigroups and evolution equations
• Accretive sets and differental equations in Banach spaces
• Equations with operators forming a right angle
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces
• Existence and Representation Theorems for a Semilinear Sobolev Equation in Banach Space
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item