Question

Proof that $\Phi_0(x)^{-1}\Phi_{n+1}(x)=-\int_0^1t^n\Phi_0(tx)^{-1}(B\Phi_{n})(tx)dt$ (Heat Kernels and Dirac Operators, Theorem $2.26$)

score 36 · Answer 1 · 2023-03-15 17:15:58

36

Views

Proof that $\Phi_0(x)^{-1}\Phi_{n+1}(x)=-\int_0^1t^n\Phi_0(tx)^{-1}(B\Phi_{n})(tx)dt$ (Heat Kernels and Dirac Operators, Theorem $2.26$)

Published on 15 Mar 2023 - 17:15

score 166 · Answer 2 · 2026-03-27 02:35:52

166

Views

Green function for Homogeneous diffusion equation in the semi infinite domain with inhomogenous neumann boundary conditions

Published on 27 Mar 2026 - 2:35

score 98 · Answer 3 · 2023-03-19 17:28:18

98

Views

Solving Generalized Heat Equation by separation of variables

Published on 19 Mar 2023 - 17:28

score 245 · Answer 4 · 2023-03-20 18:09:51

245

Views

What are all $L^pL^q$ estimates for the heat equation (with gain of derivatives)?

Published on 20 Mar 2023 - 18:09

score 67 · Answer 5 · 2026-03-26 08:14:19

67

Views

Pointwise differentiability and $H^2$-differentiability of solution to evolution equation

Published on 26 Mar 2026 - 8:14

score 108 · Answer 6 · 2023-03-28 23:03:24

108

Views

Some questions on the backwards heat equation

Published on 28 Mar 2023 - 23:03

score 224 · Answer 7 · 2026-03-25 07:47:22

224

Views

Steady State Temperature Distribution in a Rectangular Plate

Published on 25 Mar 2026 - 7:47

score 160 · Answer 8 · 2023-04-04 08:48:04

160

Views

Exponential decay of the solution of heat equation (on finite interval)?

Published on 04 Apr 2023 - 8:48

score 173 · Answer 9 · 2023-04-04 14:35:03

173

Views

Non-homogenous boundary conditions on 1D heat equation

Published on 04 Apr 2023 - 14:35

score 338 · Answer 10 · 2023-04-06 21:56:38

338

Views

Understanding the proof for the comparison principle for the heat equation.

Published on 06 Apr 2023 - 21:56

score 73 · Answer 11 · 2023-04-10 17:13:44

73

Views

diffusion equation with non-constant parameter

Published on 10 Apr 2023 - 17:13

score 315 · Answer 12 · 2023-04-13 03:47:11

315

Views

Solving the PDE $ \frac{\partial^2}{\partial t^2}\Phi(t,x)=-\frac{x}{t} \frac{\partial}{\partial x}\Phi(t,x) $

Published on 13 Apr 2023 - 3:47

score 189 · Answer 13 · 2026-03-28 05:22:42

189

Views

Regularity of heat equation with nonhomogeneous boundary conditions

Published on 28 Mar 2026 - 5:22

score 99 · Answer 14 · 2026-02-23 06:35:01

99

Views

Relationship between optimal transport and gaussian kernel

Published on 23 Feb 2026 - 6:35

score 53 · Answer 15 · 2023-04-14 22:33:58

53

Views

Show that two solutions to the heat equation are equal.

Published on 14 Apr 2023 - 22:33

List Question

Proof that $\Phi_0(x)^{-1}\Phi_{n+1}(x)=-\int_0^1t^n\Phi_0(tx)^{-1}(B\Phi_{n})(tx)dt$ (Heat Kernels and Dirac Operators, Theorem $2.26$)

Green function for Homogeneous diffusion equation in the semi infinite domain with inhomogenous neumann boundary conditions

Solving Generalized Heat Equation by separation of variables

What are all $L^pL^q$ estimates for the heat equation (with gain of derivatives)?

Pointwise differentiability and $H^2$-differentiability of solution to evolution equation

Some questions on the backwards heat equation

Steady State Temperature Distribution in a Rectangular Plate

Exponential decay of the solution of heat equation (on finite interval)?

Non-homogenous boundary conditions on 1D heat equation

Understanding the proof for the comparison principle for the heat equation.

diffusion equation with non-constant parameter

Solving the PDE $ \frac{\partial^2}{\partial t^2}\Phi(t,x)=-\frac{x}{t} \frac{\partial}{\partial x}\Phi(t,x) $

Regularity of heat equation with nonhomogeneous boundary conditions

Relationship between optimal transport and gaussian kernel

Show that two solutions to the heat equation are equal.

Trending Questions

Popular # Hahtags

Popular Questions