Existence of weak solutions to a general class of diffusive shallow medium type equations
Abstract: In this article, we prove existence of weak solutions of a general class of diffusive shallow medium type equations. We truncate the coefficients from above and below. Then we prove existence to the problems associated with the truncated vector fields. At last, we show that the approximating solutions converge to the solution of the initial value problem.
- Location
-
Deutsche Nationalbibliothek Frankfurt am Main
- Extent
-
Online-Ressource
- Language
-
Englisch
- Bibliographic citation
-
Existence of weak solutions to a general class of diffusive shallow medium type equations ; volume:34 ; number:4 ; year:2022 ; pages:1109-1129 ; extent:21
Forum mathematicum ; 34, Heft 4 (2022), 1109-1129 (gesamt 21)
- Creator
-
Dietrich, Nicolas
- DOI
-
10.1515/forum-2021-0320
- URN
-
urn:nbn:de:101:1-2412271710304.998602837542
- Rights
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
-
15.08.2025, 7:25 AM CEST
Data provider
This object is provided by:
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Dietrich, Nicolas
Other Objects (12)
Existence of solutions to a diffusive shallow medium equation
Existence and uniqueness of weak solutions for a class of fractional superdiffusion equations
Existence of weak solutions for a class of ( p , q ) $(p,q)$ -Laplacian systems
Dynamics of a Class of Advective-diffusive Equations in Ecology
Global existence and blow-up of weak solutions for a class of fractional p -Laplacian evolution equations
Aerobic oxidation of methane significantly reduces global diffusive methane emissions from shallow marine waters
Diffusive clustering
Existence, duality, and cyclical monotonicity for weak transport costs
Linear Pantographic Sheets: Existence and Uniqueness of Weak Solutions
The Germanic first class of weak verbs
Existence of traveling wave solutions with critical speed in a delayed diffusive epidemic model
Existence and quantum calculus of weak solutions for a class of two-dimensional Schrödinger equations in C+ $\mathbbC}_{+}$
Existence of solutions to a diffusive shallow medium equation
Existence and uniqueness of weak solutions for a class of fractional superdiffusion equations
Existence of weak solutions for a class of ( p , q ) $(p,q)$ -Laplacian systems
Dynamics of a Class of Advective-diffusive Equations in Ecology
Global existence and blow-up of weak solutions for a class of fractional p -Laplacian evolution equations
Aerobic oxidation of methane significantly reduces global diffusive methane emissions from shallow marine waters
Diffusive clustering
Existence, duality, and cyclical monotonicity for weak transport costs
Linear Pantographic Sheets: Existence and Uniqueness of Weak Solutions
The Germanic first class of weak verbs
Existence of traveling wave solutions with critical speed in a delayed diffusive epidemic model
Existence and quantum calculus of weak solutions for a class of two-dimensional Schrödinger equations in C+ $\mathbbC}_{+}$
Existence of solutions to a diffusive shallow medium equation
Existence and uniqueness of weak solutions for a class of fractional superdiffusion equations
Existence of weak solutions for a class of ( p , q ) $(p,q)$ -Laplacian systems
Dynamics of a Class of Advective-diffusive Equations in Ecology
Global existence and blow-up of weak solutions for a class of fractional p -Laplacian evolution equations
Aerobic oxidation of methane significantly reduces global diffusive methane emissions from shallow marine waters
Diffusive clustering
Existence, duality, and cyclical monotonicity for weak transport costs
Linear Pantographic Sheets: Existence and Uniqueness of Weak Solutions
The Germanic first class of weak verbs
Existence of traveling wave solutions with critical speed in a delayed diffusive epidemic model