Strong solutions of quasilinear integro-differential equations with singular kernels in several space dimensions
$$ u_t - a*A(u) = f,,$$ where $a$ is a scalar singular integral kernel that behaves like $t^{-alpha}$, $1/2 leq alpha < 1$ and $A$ is a second order quasilinear elliptic operator in divergence form, solutions are found for which $A(u)$ is integrable over space and time.
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
1995-02-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/1995/02/abstr.html |
| id |
doaj-b012e05e3cc047f4bdf181c4ec277a1f |
|---|---|
| record_format |
Article |
| spelling |
doaj-b012e05e3cc047f4bdf181c4ec277a1f2020-11-24T22:56:04ZengTexas State UniversityElectronic Journal of Differential Equations1072-66911995-02-01199502116Strong solutions of quasilinear integro-differential equations with singular kernels in several space dimensionsHans Engler$$ u_t - a*A(u) = f,,$$ where $a$ is a scalar singular integral kernel that behaves like $t^{-alpha}$, $1/2 leq alpha < 1$ and $A$ is a second order quasilinear elliptic operator in divergence form, solutions are found for which $A(u)$ is integrable over space and time. http://ejde.math.txstate.edu/Volumes/1995/02/abstr.htmlIntegro-differential equationstrong solutionsingular kernelquasilinear. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Hans Engler |
| spellingShingle |
Hans Engler Strong solutions of quasilinear integro-differential equations with singular kernels in several space dimensions Electronic Journal of Differential Equations Integro-differential equation strong solution singular kernel quasilinear. |
| author_facet |
Hans Engler |
| author_sort |
Hans Engler |
| title |
Strong solutions of quasilinear integro-differential equations with singular kernels in several space dimensions |
| title_short |
Strong solutions of quasilinear integro-differential equations with singular kernels in several space dimensions |
| title_full |
Strong solutions of quasilinear integro-differential equations with singular kernels in several space dimensions |
| title_fullStr |
Strong solutions of quasilinear integro-differential equations with singular kernels in several space dimensions |
| title_full_unstemmed |
Strong solutions of quasilinear integro-differential equations with singular kernels in several space dimensions |
| title_sort |
strong solutions of quasilinear integro-differential equations with singular kernels in several space dimensions |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
1995-02-01 |
| description |
$$ u_t - a*A(u) = f,,$$ where $a$ is a scalar singular integral kernel that behaves like $t^{-alpha}$, $1/2 leq alpha < 1$ and $A$ is a second order quasilinear elliptic operator in divergence form, solutions are found for which $A(u)$ is integrable over space and time. |
| topic |
Integro-differential equation strong solution singular kernel quasilinear. |
| url |
http://ejde.math.txstate.edu/Volumes/1995/02/abstr.html |
| work_keys_str_mv |
AT hansengler strongsolutionsofquasilinearintegrodifferentialequationswithsingularkernelsinseveralspacedimensions |
| _version_ |
1725655048209301504 |