Question

Is the kernel of the Laplacian fractional operator positive and us a Schwartz function?

score 51 · Answer 1 · 2026-03-27 06:07:49

51

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Is the kernel of the Laplacian fractional operator positive and us a Schwartz function?

Published on 27 Mar 2026 - 6:07

score 86 · Answer 2 · 2023-08-20 08:29:26

86

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The unique solution of non-homogeneous heat equation and its boundedness (maximum principle) / Is there a mistake in the textbook?.

Published on 20 Aug 2023 - 8:29

score 98 · Answer 3 · 2026-03-28 03:35:04

98

Views

Heat from a geothermal well: your take?

Published on 28 Mar 2026 - 3:35

score 75 · Answer 4 · 2026-03-26 14:43:14

75

Views

How to get generator of this Gaussian contraction semigroup?

Published on 26 Mar 2026 - 14:43

score 77 · Answer 5 · 2026-03-26 14:34:51

77

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Semigroup of heat equation: $\|P^\kappa_t \|_{L^p \to L^{p'}} \le c t^{-\frac{d(p'-p)}{2pp'}}$

Published on 26 Mar 2026 - 14:34

score 175 · Answer 6 · 2023-09-04 10:51:28

How to solve a heat equation with homogeneous boundary conditions of the form $u_t = u_{xx} +W(x,t)u$ using the method of variation of parameters?

score 32 · Answer 7 · 2023-09-06 17:52:10

32

Views

Definition of spatial and temporal function spaces in Brezis

Published on 06 Sep 2023 - 17:52

score 78 · Answer 8 · 2026-03-27 08:57:30

78

Views

How to show that the value of the heat kernel decreases as we move away from the heat source for a bounded domain?

Published on 27 Mar 2026 - 8:57

score 61 · Answer 9 · 2026-03-27 07:49:42

61

Views

PDEs: Boundary term in the weak variational form of the 2D heat equation

Published on 27 Mar 2026 - 7:49

score 113 · Answer 10 · 2026-03-27 14:28:35

113

Views

Transforming a system of PDE's: linear and nonlinear

Published on 27 Mar 2026 - 14:28

score 40 · Answer 11 · 2026-02-23 08:30:31

40

Views

Equivalence with the Weierstrass transform

Published on 23 Feb 2026 - 8:30

score 32 · Answer 12 · 2026-03-25 12:53:38

32

Views

Smoothness of heat kernel on Lipschitz and polygon (cornered) domain

Published on 25 Mar 2026 - 12:53

score 44 · Answer 13 · 2026-03-26 12:35:23

44

Views

Proving $u(x,t) \leq \alpha x(1-x) e^{-\beta t}$ for Heat Diffusion using the Maximum Principle

Published on 26 Mar 2026 - 12:35

score 87 · Answer 14 · 2023-09-14 10:03:22

87

Views

Is the heat equation unique under general boundary conditions?

Published on 14 Sep 2023 - 10:03

score 70 · Answer 15 · 2023-09-21 20:43:10

70

Views

Confusion about Separation of Variable with Periodic Boundary Conditions

Published on 21 Sep 2023 - 20:43

List Question

Is the kernel of the Laplacian fractional operator positive and us a Schwartz function?

The unique solution of non-homogeneous heat equation and its boundedness (maximum principle) / Is there a mistake in the textbook?.

Heat from a geothermal well: your take?

How to get generator of this Gaussian contraction semigroup?

Semigroup of heat equation: $\|P^\kappa_t \|_{L^p \to L^{p'}} \le c t^{-\frac{d(p'-p)}{2pp'}}$

How to solve a heat equation with homogeneous boundary conditions of the form $u_t = u_{xx} +W(x,t)u$ using the method of variation of parameters?

Definition of spatial and temporal function spaces in Brezis

How to show that the value of the heat kernel decreases as we move away from the heat source for a bounded domain?

PDEs: Boundary term in the weak variational form of the 2D heat equation

Transforming a system of PDE's: linear and nonlinear

Equivalence with the Weierstrass transform

Smoothness of heat kernel on Lipschitz and polygon (cornered) domain

Proving $u(x,t) \leq \alpha x(1-x) e^{-\beta t}$ for Heat Diffusion using the Maximum Principle

Is the heat equation unique under general boundary conditions?

Confusion about Separation of Variable with Periodic Boundary Conditions

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