A nonlinear theory of generalized functions
type: Item
instance of: scholarly article
title: A nonlinear theory of generalized functions
zbMATH Open document ID: 1506.46036
author: Yanyan Li
published in: São Paulo Journal of Mathematical Sciences
publication date: 2022-09-30T00:00:00Z
Mathematics Subject Classification ID: 46F30
Mathematics Subject Classification ID: 46F20
zbMATH DE Number: 7595677
zbMATH Keywords: generalized function
zbMATH Keywords: equation
zbMATH Keywords: distribution
zbMATH Keywords: solution
zbMATH Keywords: ultrametric
MaRDI profile type: Publication
full work available at URL: s40863-020-00205-0
OpenAlex ID: W3125337482
Wikidata QID: Q121766721
cites work: Q5828262
cites work: Q5528072
cites work: Q4084067
cites work: Q3996146
cites work: An example of a smooth linear partial differential equation without solution
cites work: Solvability of a first order linear partial differential equation
cites work: Recent developments in infinite dimensional holomorphy
cites work: Q4112961
cites work: Q3892615
cites work: Q3774366
cites work: Q5818771
cites work: Q5848489
cites work: Q4743279
cites work: Q3314371
cites work: Q3733517
cites work: Q3709296
cites work: Generalized solutions of nonlinear parabolic equations with distributions as initial conditions
cites work: Intrinsic definition of the Colombeau algebra of generalized functions
cites work: Differential calculus and integration of generalized functions over membranes
cites work: A discontinuous Colombeau differential calculus
cites work: Algebraic theory of Colombeau's generalized numbers
cites work: Natural topologies on Colombeau algebras
cites work: Algebraic and Geometric Theory of the Topological Ring of Colombeau Generalized Functions
cites work: SOME STRUCTURAL PROPERTIES OF THE TOPOLOGICAL RING OF COLOMBEAU'S GENERALIZED NUMBERS
cites work: An existence theorem for an analytic first order PDE in the framework of Colombeau's theory
cites work: Q4796622
cites work: Q2778627
cites work: A global theory of algebras of generalized functions
cites work: Step soliton generalized solutions of the shallow water equations
cites work: Locally convex topological algebras of generalized functions: Compactness and nuclearity in a nonlinear context
cites work: Nonlinear generalized functions and jump conditions for a standard one pressure liquid-gas model
cites work: Generalized solutions of a nonlinear parabolic equation with generalized functions as initial data
cites work: Colombeau's theory and shock waves in a problem of hydrodynamics
cites work: Nonlinear parabolic equations involving measures as initial conditions
cites work: Topological structures in Colombeau algebras: Topological \(\widetilde{\mathbb C}\)-modules and duality theory
cites work: Q3368512
cites work: Q4272018
cites work: Generalized pseudo-Riemannian geometry
cites work: Colombeau algebra as a mathematical tool for investigating step load and step deformation of systems of nonlinear springs and dashpots
cites work: Q3325851
cites work: Off-diagonal condition
cites work: Full algebra of generalized functions and non-standard asymptotic analysis
cites work: Q3270120
cites work: Maximal closed ideals of the Colombeau algebra of generalized functions
cites work: Q5478069
cites work: On Existence Theorems for the ∂¯ Operator on Generalized Differential Forms
cites work: Some results for the \(\overline{\partial}\) operator on generalized differential forms
cites work: Global representatives of Colombeau holomorphic generalized functions
cites work: Internal sets and internal functions in Colombeau theory
cites work: Analytic continuation of generalized functions
cites work: Holomorphic generalized functions
cites work: Zeros of generalized holomorphic functions
cites work: The Colombeau Quaternion Algebra
cites work: The ring of Colombeau’s full generalized quaternions
cites work: Local properties of Colombeau generalized functions
cites work: Q3111302
cites work: Ideals in the Ring of Colombeau Generalized Numbers
cites work: Characterization of colombeau generalized functions by their pointvalues
cites work: The Cauchy problem for Schrödinger-type partial differential operators with generalized functions in the principal part and as data
DOI: 10.1007/S40863-020-00205-0
Recommended article: Q4839657

A nonlinear theory of generalized functions (Recommended article)
Recommended article: A nonlinear theory of generalized functions.
Similarity Score: 0.9717679
Recommender Run: Recommender Run 2

A nonlinear theory of generalized functions (Recommended article)
Recommended article: Q4863297
Similarity Score: 0.94567966
Recommender Run: Recommender Run 2

A nonlinear theory of generalized functions (Recommended article)
Recommended article: Q5167032
Similarity Score: 0.9427948
Recommender Run: Recommender Run 2

A nonlinear theory of generalized functions (Recommended article)
Recommended article: Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
Similarity Score: 0.9366696
Recommender Run: Recommender Run 2

A nonlinear theory of generalized functions (Recommended article)
Recommended article: Generalized functions and non-standard analysis
Similarity Score: 0.93555546
Recommender Run: Recommender Run 2

A nonlinear theory of generalized functions (Recommended article)
Recommended article: Q4550434
Similarity Score: 0.93096143
Recommender Run: Recommender Run 2

A nonlinear theory of generalized functions (Recommended article)
Recommended article: A new theory of generalized functions
Similarity Score: 0.92986494
Recommender Run: Recommender Run 2

A nonlinear theory of generalized functions (Recommended article)
Recommended article: Q3812767
Similarity Score: 0.92986494
Recommender Run: Recommender Run 2

A nonlinear theory of generalized functions (Recommended article)
Recommended article: Regular nonlinear generalized functions and applications
Similarity Score: 0.9278071
Recommender Run: Recommender Run 2