Timeline for Uniqueness of solution to Cauchy problem with quadratic nonlinearity
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 10, 2020 at 8:32 | comment | added | Giorgio Metafune | Writing $\phi=\log v$ leads to the heat equation $v_t=v_{xx}$ but the boundary condition looks more complicate. | |
| Aug 4, 2020 at 17:14 | comment | added | cts12 | Thanks @MichaelRenardy. The existing solution $\varphi$ that I found is a probability density (modelling the transition probability of a stochastic system to jump from state $x$ to state $y$ in $t>0$ units of time). Yes, I want the boundary at $t=T$ only. | |
| Aug 4, 2020 at 17:11 | history | edited | cts12 | CC BY-SA 4.0 |
added 71 characters in body
|
| Aug 4, 2020 at 17:01 | comment | added | Michael Renardy | Do you really want the boundary condition only at t=T? And I suppose you also want an initial condition? | |
| Aug 4, 2020 at 16:33 | history | edited | cts12 | CC BY-SA 4.0 |
added 28 characters in body
|
| Aug 4, 2020 at 15:56 | history | edited | cts12 | CC BY-SA 4.0 |
edited body
|
| Aug 4, 2020 at 15:44 | history | edited | cts12 | CC BY-SA 4.0 |
added 4 characters in body
|
| Aug 4, 2020 at 15:33 | history | asked | cts12 | CC BY-SA 4.0 |