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One-Sided Boundary-Value Problem with Impulsive Conditions for Parabolic Equations with Degeneration
- Source :
- Journal of Mathematical Sciences. 256:398-415
- Publication Year :
- 2021
- Publisher :
- Springer Science and Business Media LLC, 2021.
-
Abstract
- For a second-order parabolic equation, we consider a one-sided boundary-value problem with impulsive conditions with respect to the time variable. The coefficients of equation and the boundary conditions have power singularities of any order in time and space variables on a certain set of points. We also establish conditions for the existence and uniqueness of solution to the posed problem in Holder spaces with power weights.
- Subjects :
- Statistics and Probability
Spacetime
Applied Mathematics
General Mathematics
Mathematical analysis
MathematicsofComputing_NUMERICALANALYSIS
Parabolic partial differential equation
Power (physics)
Set (abstract data type)
ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION
Order (group theory)
Gravitational singularity
Boundary value problem
Uniqueness
Mathematics
Subjects
Details
- ISSN :
- 15738795 and 10723374
- Volume :
- 256
- Database :
- OpenAIRE
- Journal :
- Journal of Mathematical Sciences
- Accession number :
- edsair.doi...........b0104c9d7aa50f17c645132c5ea1a2db
- Full Text :
- https://doi.org/10.1007/s10958-021-05434-y