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The initial-boundary value problem for a class of third order pseudoparabolic equations
- Source :
- Boundary Value Problems, Vol 2020, Iss 1, Pp 1-10 (2020)
- Publication Year :
- 2020
- Publisher :
- SpringerOpen, 2020.
-
Abstract
- In this paper, a priori estimate for a linear third pseudoparabolic operator with bound is established, and applying the above result, the existence and uniqueness theorem of solutions for a class of nonlinear pseudoparabolic equations is obtained with the help of the homeomorphism method and the initial value method. Furthermore, an existence and uniqueness theorem of the semilinear equation is obtained as a corollary.
- Subjects :
- Algebra and Number Theory
Partial differential equation
Picard–Lindelöf theorem
Homeomorphism method
010102 general mathematics
Mathematical analysis
Existence and uniqueness theorem
lcsh:QA299.6-433
A priori estimate
Third order pseudoparabolic equations
lcsh:Analysis
01 natural sciences
Homeomorphism
010101 applied mathematics
Initial-boundary value problem
Nonlinear system
Ordinary differential equation
Initial value problem
Boundary value problem
0101 mathematics
Analysis
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 16872770
- Volume :
- 2020
- Issue :
- 1
- Database :
- OpenAIRE
- Journal :
- Boundary Value Problems
- Accession number :
- edsair.doi.dedup.....c6e4b39d91510596c5dfaed81330f10b