On the equation $$\Delta u + \tfrac{1}{2}x \cdot \triangledown u + f\left( u \right) = 0$$

L. A. Peletier, David Terman, Fred B. Weissler

Type: Article

Publication Date: 1986-01-01

Citations: 40

DOI: https://doi.org/10.1007/bf00278244

View Publication

Locations

Archive for Rational Mechanics and Analysis - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	On the equations $u_t + \nabla \cdot F\left( u \right) + 0$ and $u_t + \nabla \cdot F\left( u \right) = \nu \Delta u^1$	1969	Daniel B. Kotlow
+	On the equation $$\Delta u + K\left( x \right)u^{\frac{{n + 2}}{{n - 2}} \pm \varepsilon ^2 } = 0$$ inR ninR n	1995	Xuefeng Wang Juncheng Wei
+	On the functional equation $$F(u) = F(1 - u) + F\left( {\frac{u}{{1 - u}}} \right),u \in [0,\frac{1}{2}]$$	1971	Donald B. Small
+	On the Functional Equation $$\Delta _{T_{1y} } \Delta _{T_{2y} } f = 0$$	1973	Donald Girod
+	On the functional equation $$\Delta _{{\rm T}_1 y} \Delta _{{\rm T}_2 y} f = 0*)$$	1972	Donald Girod
+ PDF Chat	On the Equations $x^{p}+y^{q}+z^{r}-xyz=0$	2018	Iku Nakamura
+	On the equation $\phi(\sum x_i)=\sum \alpha_{ij} \phi(x_i)g(x_j)$	2022	Halina Światak
+	On the Functional Equation $f(\lambda )+f(\omega \lambda )f(\omega ^{-1}\lambda )=1$, $(\omega ^5=1)$	1984	Yasutaka Sibuya
+ PDF Chat	A note on the equation $-\Delta u+e^{u}-1=0$	2004	Лаурент Верон
+ PDF Chat	A note on the equation $-\Delta u+e^{u}-1=0$	2004	Лаурент Верон
+ PDF Chat	A note on the equation $-\Delta u+e^{u}-1=0$	2004	Лаурент Верон
+ PDF Chat	A note on the equation $-\Delta u+e^{u}-1=0$	2004	Лаурент Верон
+ PDF Chat	A note on the equation $-\Delta u+e^{u}-1=0$	2004	Лаурент Верон
+ PDF Chat	A note on the equation $-\Delta u+e^{u}-1=0$	2004	Лаурент Верон
+	On equation $P(\text{D})u=f(u^{(m)})+g\bigl (t,(u^{(j)})\bigr )$ on the line	2005	Piotr Fijałkowski
+	On ${\rm CH}+2^{\aleph_1}\to(\alpha)^2_2$ for $\alpha<\omega_2$	1993	Saharon Shelah
+	On the equation u_t-Δu + u^3=f	1978	Kazuo Okamoto
+	On the equation $x_0^2 + x_1^2 + \dots + x_n^2 = x_{n+1}^k$	2017	W. Gorzkowski
+ PDF Chat	On the solution of the equation $$ x^7\pm7px^5 +14p^2x^3\pm 7p^3x+q=0 $$	1879	Vojtěch Jäger
+ PDF Chat	On the functional equation $f(x+y)f(x-y)=f^2(x)-f^2 (y)$	1961	Svetozar Kurepa

Works That Cite This (40)

Action	Title	Year	Authors
+	Finite energy self–similar solutions of a nonlinear wave equation	1990	Otared Kavian Fred B. Weissler
+	Existence and multiplicity of self-similar solutions for heat equations with nonlinear boundary conditions	2015	Lucas C. F. Ferreira Marcelo F. Furtado Everaldo S. Medeiros
+	Multiplicity of solutions for a nonlinear boundary value problem in the upper half-space	2020	Marcelo F. Furtado Karla Carolina Vicente de Sousa
+ PDF Chat	Existence and uniqueness of solution for a singular elliptic differential equation	2024	Shanshan Gu Bianxia Yang Wenrui Shao
+	On the growth of mass for a viscous Hamilton-Jacobi equation	2003	Philippe Laurençot Philippe Souplet
+	Nodal solutions for a semilinear elliptic equation including critical exponent and fast increasing weight	2024	L. Shi Xinyue Zhang
+	The global existence and nonuniqueness of a nonlinear degenerate equation	1998	Yuanwei Qi
+	Radial Symmetry of Self-Similar Solutions for Semilinear Heat Equations	2000	Yūki Naito Takashi Suzuki
+	On a decay property of solutions to the Haraux–Weissler equation	2005	Reika Fukuizumi Tohru Ozawa
+	A generalized Pohožaev identity and uniqueness of positive radial solutions of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>u</mml:mi><mml:mo>+</mml:mo><mml:mi>g</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>r</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mi>u</mml:mi><mml:mo>+</mml:mo><mml:mi>h</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>r</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:…	2013	Naoki Shioji Kohtaro Watanabe

Works Cited by This (4)

Action	Title	Year	Authors
+	Asymptotic analysis of an ordinary differential equation and non-uniqueness for a semilinear partial differential equation	1986	Fred B. Weissler
+	Rapidly decaying solutions of an ordinary differential equation with applications to semilinear elliptic and parabolic partial differential equations	1986	Fred B. Weissler
+ PDF Chat	Existence of solitary waves in higher dimensions	1977	Walter A. Strauss
+	Asymptotically self‐similar blow‐up of semilinear heat equations	1985	Yoshikazu Giga Robert V. Kohn