ABSTRACT
Different physical phenomena can be represented in terms of nonlinear problems for partial differential equations, however such problems are often subjected to singularities. Thus it gives rise to a permanent research interest to such problems. In the present study we provide reviews of essential approach applied to Cauchy problems and initial-boundary problems for hyperbolic equations based on latest results in this field. Also in this research we investigate the following problem utt +ut −uxx = F(u), u(x,0) = x 3 , ut(x,0) = g(x). Where we prove the existence of unique solution (u) of the problem for 0 < t < φ, which blows up to +∞ as t → φ.
Chillingo, K (2021). Blow-Up Of Solutions To Problems For Nonlinear Hyperbolic Equation. Afribary. Retrieved from https://afribary.com/works/blow-up-of-solutions-to-problems-for-nonlinear-hyperbolic-equation
Chillingo, Kidney "Blow-Up Of Solutions To Problems For Nonlinear Hyperbolic Equation" Afribary. Afribary, 22 May. 2021, https://afribary.com/works/blow-up-of-solutions-to-problems-for-nonlinear-hyperbolic-equation. Accessed 25 Apr. 2024.
Chillingo, Kidney . "Blow-Up Of Solutions To Problems For Nonlinear Hyperbolic Equation". Afribary, Afribary, 22 May. 2021. Web. 25 Apr. 2024. < https://afribary.com/works/blow-up-of-solutions-to-problems-for-nonlinear-hyperbolic-equation >.
Chillingo, Kidney . "Blow-Up Of Solutions To Problems For Nonlinear Hyperbolic Equation" Afribary (2021). Accessed April 25, 2024. https://afribary.com/works/blow-up-of-solutions-to-problems-for-nonlinear-hyperbolic-equation