Functional Analysis, Sobolev Spaces and Partial Differential Equations
Explore this paper's citation graph
- Type
- book
- Published
- 2010-11-10
- Cited by
- 6,824
- References
- 138
- Access
- Open access
- OpenAlex
- https://openalex.org/W1545761024
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:117299718
Keywords
Sobolev space, Partial differential equation, Functional analysis, Mathematics, Mathematical analysis
References
- Linear Operators and their Spectra
- Oscillating Patterns in Image Processing and Nonlinear Evolution Equations: The Fifteenth Dean Jacqueline B. Lewis Memorial Lectures
- Wavelets: Calderón-Zygmund and Multilinear Operators
- Infinite-Dimensional Optimization And Convexity
- Geometric Measure Theory: An Introduction
- Convex Functions, Monotone Operators and Differentiability
- The theory of subgradients and its applications to problems of optimization : convex and nonconvex functions
- A Geometric Approach to Free Boundary Problems
- Introduction to Banach spaces and their geometry
- Lectures on Elliptic and Parabolic Equations in Holder Spaces
- Topological vector spaces, distributions and kernels
- Problèmes aux limites dans les équations aux dérivées partielles
- Mathematical foundations of the calculus of probability
- Second Order Elliptic Equations and Elliptic Systems
- The index theorem and the heat equation
- Mathematical Aspects of Reacting and Diffusing Systems
- Introduction to Fourier Analysis on Euclidean Spaces.
- Topology; a first course
- Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert
- Theory Of Function Spaces
Cited by
- O teorema da dualidade de Kantorovich para o transporte de ótimo
- Global existence for the defocusing nonlinear Schr\"odinger equations with limit periodic initial data
- Validation of NASA rotor 67 with openFOAM's transonic density-based solver
- A Short Proof of Increased Parabolic Regularity
- ASYMPTOTIC BEHAVIOR OF THIN ELASTIC INTERPHASES
- Modélisation, simulation et assimilation de données autour d'un problème de couplage hydrodynamique-biologie
- Analysis of a Partial Differential Equation Model for Necrotizing Enterocolitis.
- Soluciones periódicas de ecuaciones de onda no lineales
- Finite element approximations for fluidflows governed by nonlinear slip boundaryconditions of friction type: from theory tocomputations
- Regularity results for nonlocal fully nonlinear elliptic equations
- The Hardy inequality and the heat equation with magnetic field in any dimension
- Parabolic equations associated with symmetric nonlocal operators
- Finite time blow-up for the bosonic Nordheim equation
- Three Solutions for a Neumann Partial Differential Inclusion Via Nonsmooth Morse Theory
- Optimal Boundary Surface for Irreversible Investment with Stochastic Costs
- Gradient discretization of hybrid dimensional Darcy flows in fractured porous media
- Intrinsic Lipschitz graphs in Heisenberg groups and non linear sub-elliptic PDEs
- Sensitivity analysis of energy contracts management problem by stochastic programming techniques
- Positive solution for a class of p&q-singular elliptic equation
- Contributions au calcul des variations et au principe du maximum de Pontryagin en calculs time scale et fractionnaire
Related papers
- Sobolev regularity for quasilinear parabolic equations with asymptotically regular nonlinearity
- The Second Boundary Value Problem for Differential-Difference Equations
- An Integral Two Space-Variables Condition for Parabolic Equations
- Asymptotic behavior of the solution of the first initial-boundary value problem for equations of the Sobolev type from the viewpoint of oscillations
- A natural boundary element method for the Sobolev equation in the 2D unbounded domain
- Phase space of a model of magnetohydrodynamics
- CONVERGENCE OF SOLUTIONS OF PARABOLIC PARTIAL DIFFERENTIAL EQUATION ON PERTURBED DOMAINS
- Radial sign-changing solutions to biharmonic nonlinear Schrödinger equations
- On growth of sobolev norms in linear schrödinger equations with smooth time dependent potential
- A nonlinear p-Laplace equation with critical Sobolev-Hardy exponents and Robin boundary conditions