Search Results - "Cauchy problem"

Convergence of solutions of the porous medium equation with reactions.

Authors: Lou, Bendong Zhou, Maolin

Source: Journal of the European Mathematical Society (EMS Publishing). 2026, Vol. 28 Issue 7, p2945-3009. 65p.

带组合非线性项的双波动方程耦合系统解的破裂. (Chinese)

Authors: 阎金芳 明 森 韩 伟

Source: Journal of Central China Normal University; Jun2026, Vol. 60 Issue 3, p485-492, 8p

Growing Polyharmonic Functions and The Cauchy Problem for Some Domains in Two Dimensional Euclidean Space.

Authors: Khasanov, A. B. Juraeva, U. Y. Nik Long, N. M. A.

Source: Malaysian Journal of Mathematical Sciences. Jun2026, Vol. 20 Issue 2, p559-572. 14p.

On Variable Lebesgue Spaces and Generalized Nonlinear Heat Equations.

Authors: Vergara-Hermosilla, Gastón¹ (AUTHOR) gaston.vergarahermosilla@univ-evry.fr

Source: Journal of Dynamics & Differential Equations. Jun2026, Vol. 38 Issue 2, p809-830. 22p.

Mixed partial differential equation: Forward problem linked with the wave-diffusion process.

Authors: Karimov, Erkinjon Tokmagambetov, Niyaz Toshpulatov, Muzaffar

Source: Georgian Mathematical Journal. Jun2026, Vol. 33 Issue 3, p509-526. 18p.

Singular Limit as q → ∞ for a Doubly Nonlinear Cauchy Problem with Absorption.

Authors: Wei, Leilei Hu, Xing-Yu

Source: Mathematics (2227-7390). May2026, Vol. 14 Issue 5, p1720. 13p.

Finite energy well-posedness for nonlinear Schrödinger equations with non-vanishing conditions at infinity.

Authors: Antonelli, Paolo Hientzsch, Lars Eric Marcati, Pierangelo

Source: Revista Mathemática Iberoamericana. 2026, Vol. 42 Issue 3, p1059-1116. 58p.

Benchmark Problems for the One-Dimensional Wave Equation Under Mixed Boundary Conditions: Initial-Value and Two-Time Specifications.

Authors: Vadai, Zsolt Kézi, Csaba

Source: Applied Sciences (2076-3417); Apr2026, Vol. 16 Issue 8, p3755, 21p

Local Well‐Posedness for the Fourth‐Order Schrödinger Equation With Quadratic Derivative Nonlinearities in Fourier–Lebesgue Spaces.

Authors: Xiao, Long Chen, Ting Gu, Xian-Ming

Source: Journal of Function Spaces. 4/3/2026, Vol. 2026, p1-12. 12p.

Blow-up for coupled systems of semilinear damped wave equations on the Heisenberg group.

Authors: Li, Dongmei Ming, Sen Liu, Tianyu

Source: Electronic Research Archive. 2026, Vol. 34 Issue 4, p1-28. 28p.

ON THE REGULARIZATION OF THE CAUCHY PROBLEM FOR THE LAPLACE EQUATION IN THE STRIPE.

Alternate Title: Жолақтағы Лаплас теңдеуi үшiн Коши есебiн регуляризациялау туралы.
О регуляризации задачи Коши для уравнения Лапласа в полосе.

Authors: Qudaybergenov, A. K. Madibaiuly, Zh.

Source: Journal of Mathematics, Mechanics & Computer Science. 2026, Vol. 130 Issue 2, p106-121. 16p.

Yvonne Choquet-Bruhat et les mathématiques de la relativité générale.

Authors: HUNEAU, C.¹

Source: Gazette de la Société Mathématique de France. avr2026, Issue 188, p47-50. 4p.

Lecture notes in loop quantum gravity. LN2: Cauchy problems and pre-quantum states.

Authors: Coriasco, Sandro Fatibene, Lorenzo Orizzonte, Andrea et al.

Source: International Journal of Geometric Methods in Modern Physics. Mar2026, Vol. 23 Issue 3, p1-30. 30p.

ПРО ІСНУВАННЯ РОЗВ'ЯЗКУ ЗАДАЧІ КОШІ НЕЛІНІЙНИХ СТОХАСТИЧНИХ ДИФЕРЕНЦІАЛЬНО-ФУНКЦІОНАЛЬНИХ РІВНЯНЬ З ЧАСТИННИМИ ПОХІДНИМИ СПЕЦІАЛЬНОГО ВИГЛЯДУ.

Alternate Title: ON THE EXISTENCE OF A SOLUTION TO THE CAUCHY PROBLEM FOR NONLINEAR STOCHASTIC PARTIAL FUNCTIONAL DIFFERENTIAL EQUATIONS OF A SPECIAL FORM.

Authors: ЮРЧЕНКО, І. В. ЯСИНСЬКИЙ, В. К.

Source: Cybernetics & Systems Analysis / Kibernetyka ta Systemnyi Analiz. 2026, Issue 2, p153-158. 6p.

Global stability of stage-structured single species model on ℝN with Beverton–Holt birth function.

Authors: Zhang, Hongtao Zhao, Jingfu

Source: Applied Mathematics in Science & Engineering. Dec2025, Vol. 33 Issue 1, p1-10. 10p.

Subjects: Cauchy problem, Elliptic equations, Life cycles (Biology), Population dynamics, Stability (Mechanics), Dynamical systems, Asymptotic expansions

Cauchy Type Nonlinear Inverse Problem in a Two-Layer Cylindrical Area.

Authors: Ciałkowski, Michał Joachimiak, Magda Mierzwiczak, Magdalena et al.

Source: Heat Transfer Engineering. 2025, Vol. 46 Issue 22, p2005-2017. 13p.

Subjects: Cauchy problem, Heat conduction, Numerical calculations, Thermal equilibrium, Inverse problems, Thermal properties, Protective coatings

Numerical and analytical study of fractional hyperbolic equations with ψ-Caputo derivatives.

Authors: Benmerrous, Abdelmjid Baroudi, Sami Bourhim, Fatima Ezzahra et al.

Source: Journal of Nonlinear, Complex & Data Science. Feb2026, Vol. 27 Issue 1, p17-41. 25p.

Analytic Solution of Higher Order Fractional Abstract Cauchy Problem.

Authors: Alshanti, Waseem Ghazi¹ w.alshanti@zuj.edu.jo

Source: International Journal of Neutrosophic Science (IJNS). 2026, Vol. 27 Issue 2, p407-412. 6p.

Eternal solutions to a porous medium equation with strong nonhomogeneous absorption. Part II: Dead-core profiles.

Authors: Iagar, Razvan Gabriel Laurençot, Philippe Sánchez, Ariel

Source: Analysis & Applications. Feb2026, Vol. 24 Issue 2, p341-383. 43p.

On the Integration of the Dullin-Gottwald-Holm Equation with a Self-Consistent Source in the Class of Rapidly Decreasing Functions.

Authors: Babajanov, Bazar Iskandarov, Abbosbek

Source: European Journal of Pure & Applied Mathematics. Jan2026, Vol. 19 Issue 1, p1-16. 16p.